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Finding the Fourth Proportional to 28,033.52, 38,686.02 and 15,458

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Solution

The fourth proportional to 28,033.52, 38,686.02 and 15,458 is: 21,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,033.52 : 38,686.02 = 15,458 : x
  2. Step 2: Convert to fraction form
    28,033.52/38,686.02 = 15,458/x
  3. Step 3: Cross multiply
    28,033.52x = 38,686.02 × 15,458
  4. Step 4: Simplify right side
    28,033.52x = 598,008,497.16
  5. Step 5: Solve for x
    x = 598,008,497.16/28,033.52
  6. Step 6: Final answer
    x = 21,331.91

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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.