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Finding the Fourth Proportional to 41,382, 62,079.48 and 13,686.48

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Solution

The fourth proportional to 41,382, 62,079.48 and 13,686.48 is: 20,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,382 : 62,079.48 = 13,686.48 : x
  2. Step 2: Convert to fraction form
    41,382/62,079.48 = 13,686.48/x
  3. Step 3: Cross multiply
    41,382x = 62,079.48 × 13,686.48
  4. Step 4: Simplify right side
    41,382x = 849,649,561.43
  5. Step 5: Solve for x
    x = 849,649,561.43/41,382
  6. Step 6: Final answer
    x = 20,531.86

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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.