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Finding the Fourth Proportional to 25,146.31, 34,687.47 and 15,698.47

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Solution

The fourth proportional to 25,146.31, 34,687.47 and 15,698.47 is: 21,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.31 : 34,687.47 = 15,698.47 : x
  2. Step 2: Convert to fraction form
    25,146.31/34,687.47 = 15,698.47/x
  3. Step 3: Cross multiply
    25,146.31x = 34,687.47 × 15,698.47
  4. Step 4: Simplify right side
    25,146.31x = 544,540,246.42
  5. Step 5: Solve for x
    x = 544,540,246.42/25,146.31
  6. Step 6: Final answer
    x = 21,654.88

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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.