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Finding the Fourth Proportional to 15,708.71, 21,657.80 and 12,865.61

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Solution

The fourth proportional to 15,708.71, 21,657.80 and 12,865.61 is: 17,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.71 : 21,657.80 = 12,865.61 : x
  2. Step 2: Convert to fraction form
    15,708.71/21,657.80 = 12,865.61/x
  3. Step 3: Cross multiply
    15,708.71x = 21,657.80 × 12,865.61
  4. Step 4: Simplify right side
    15,708.71x = 278,640,808.26
  5. Step 5: Solve for x
    x = 278,640,808.26/15,708.71
  6. Step 6: Final answer
    x = 17,737.98

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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.