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Finding the Fourth Proportional to 9,783.78, 13,499.51 and 5,806.22

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Solution

The fourth proportional to 9,783.78, 13,499.51 and 5,806.22 is: 8,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.78 : 13,499.51 = 5,806.22 : x
  2. Step 2: Convert to fraction form
    9,783.78/13,499.51 = 5,806.22/x
  3. Step 3: Cross multiply
    9,783.78x = 13,499.51 × 5,806.22
  4. Step 4: Simplify right side
    9,783.78x = 78,381,028.42
  5. Step 5: Solve for x
    x = 78,381,028.42/9,783.78
  6. Step 6: Final answer
    x = 8,011.32

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Half scale
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Double scale
Find fourth proportional to 9,784.78, 13,500.88 and 5,807.22
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.