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Finding the Fourth Proportional to 25,988.71, 38,989.22 and 8,458.54

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Solution

The fourth proportional to 25,988.71, 38,989.22 and 8,458.54 is: 12,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.71 : 38,989.22 = 8,458.54 : x
  2. Step 2: Convert to fraction form
    25,988.71/38,989.22 = 8,458.54/x
  3. Step 3: Cross multiply
    25,988.71x = 38,989.22 × 8,458.54
  4. Step 4: Simplify right side
    25,988.71x = 329,791,876.94
  5. Step 5: Solve for x
    x = 329,791,876.94/25,988.71
  6. Step 6: Final answer
    x = 12,689.81

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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.