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Finding the Fourth Proportional to 10,871.31, 16,381.02 and 8,940.20

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Solution

The fourth proportional to 10,871.31, 16,381.02 and 8,940.20 is: 13,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.31 : 16,381.02 = 8,940.20 : x
  2. Step 2: Convert to fraction form
    10,871.31/16,381.02 = 8,940.20/x
  3. Step 3: Cross multiply
    10,871.31x = 16,381.02 × 8,940.20
  4. Step 4: Simplify right side
    10,871.31x = 146,449,468.40
  5. Step 5: Solve for x
    x = 146,449,468.40/10,871.31
  6. Step 6: Final answer
    x = 13,471.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.