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Finding the Fourth Proportional to 38,708.80, 58,071.40 and 12,432

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Solution

The fourth proportional to 38,708.80, 58,071.40 and 12,432 is: 18,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,708.80 : 58,071.40 = 12,432 : x
  2. Step 2: Convert to fraction form
    38,708.80/58,071.40 = 12,432/x
  3. Step 3: Cross multiply
    38,708.80x = 58,071.40 × 12,432
  4. Step 4: Simplify right side
    38,708.80x = 721,943,644.80
  5. Step 5: Solve for x
    x = 721,943,644.80/38,708.80
  6. Step 6: Final answer
    x = 18,650.63

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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.