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Finding the Fourth Proportional to 10,955.92, 16,385.08 and 9,731.28

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Solution

The fourth proportional to 10,955.92, 16,385.08 and 9,731.28 is: 14,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.92 : 16,385.08 = 9,731.28 : x
  2. Step 2: Convert to fraction form
    10,955.92/16,385.08 = 9,731.28/x
  3. Step 3: Cross multiply
    10,955.92x = 16,385.08 × 9,731.28
  4. Step 4: Simplify right side
    10,955.92x = 159,447,801.30
  5. Step 5: Solve for x
    x = 159,447,801.30/10,955.92
  6. Step 6: Final answer
    x = 14,553.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.