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Finding the Fourth Proportional to 9,607.64, 13,253.50 and 7,817.12

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Solution

The fourth proportional to 9,607.64, 13,253.50 and 7,817.12 is: 10,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.64 : 13,253.50 = 7,817.12 : x
  2. Step 2: Convert to fraction form
    9,607.64/13,253.50 = 7,817.12/x
  3. Step 3: Cross multiply
    9,607.64x = 13,253.50 × 7,817.12
  4. Step 4: Simplify right side
    9,607.64x = 103,604,199.92
  5. Step 5: Solve for x
    x = 103,604,199.92/9,607.64
  6. Step 6: Final answer
    x = 10,783.52

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Double scale
Find fourth proportional to 9,608.64, 13,254.88 and 7,818.12
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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.