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Finding the Fourth Proportional to 10,892.16, 15,037.92 and 9,771.12

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Solution

The fourth proportional to 10,892.16, 15,037.92 and 9,771.12 is: 13,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.16 : 15,037.92 = 9,771.12 : x
  2. Step 2: Convert to fraction form
    10,892.16/15,037.92 = 9,771.12/x
  3. Step 3: Cross multiply
    10,892.16x = 15,037.92 × 9,771.12
  4. Step 4: Simplify right side
    10,892.16x = 146,937,320.87
  5. Step 5: Solve for x
    x = 146,937,320.87/10,892.16
  6. Step 6: Final answer
    x = 13,490.19

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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.