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Finding the Fourth Proportional to 18,640.68, 25,724.28 and 10,142.88

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Solution

The fourth proportional to 18,640.68, 25,724.28 and 10,142.88 is: 13,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640.68 : 25,724.28 = 10,142.88 : x
  2. Step 2: Convert to fraction form
    18,640.68/25,724.28 = 10,142.88/x
  3. Step 3: Cross multiply
    18,640.68x = 25,724.28 × 10,142.88
  4. Step 4: Simplify right side
    18,640.68x = 260,918,285.13
  5. Step 5: Solve for x
    x = 260,918,285.13/18,640.68
  6. Step 6: Final answer
    x = 13,997.25

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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.