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Finding the Fourth Proportional to 25,760.64, 38,654.64 and 10,178.40

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Solution

The fourth proportional to 25,760.64, 38,654.64 and 10,178.40 is: 15,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760.64 : 38,654.64 = 10,178.40 : x
  2. Step 2: Convert to fraction form
    25,760.64/38,654.64 = 10,178.40/x
  3. Step 3: Cross multiply
    25,760.64x = 38,654.64 × 10,178.40
  4. Step 4: Simplify right side
    25,760.64x = 393,442,387.78
  5. Step 5: Solve for x
    x = 393,442,387.78/25,760.64
  6. Step 6: Final answer
    x = 15,273.01

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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.