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Finding the Fourth Proportional to 9,989.84, 13,797.12 and 7,778.32

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Solution

The fourth proportional to 9,989.84, 13,797.12 and 7,778.32 is: 10,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.84 : 13,797.12 = 7,778.32 : x
  2. Step 2: Convert to fraction form
    9,989.84/13,797.12 = 7,778.32/x
  3. Step 3: Cross multiply
    9,989.84x = 13,797.12 × 7,778.32
  4. Step 4: Simplify right side
    9,989.84x = 107,318,414.44
  5. Step 5: Solve for x
    x = 107,318,414.44/9,989.84
  6. Step 6: Final answer
    x = 10,742.76

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Half scale
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Double scale
Find fourth proportional to 9,990.84, 13,798.50 and 7,779.32
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.