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Finding the Fourth Proportional to 28,167, 42,251.10 and 10,645.08

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Solution

The fourth proportional to 28,167, 42,251.10 and 10,645.08 is: 15,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,167 : 42,251.10 = 10,645.08 : x
  2. Step 2: Convert to fraction form
    28,167/42,251.10 = 10,645.08/x
  3. Step 3: Cross multiply
    28,167x = 42,251.10 × 10,645.08
  4. Step 4: Simplify right side
    28,167x = 449,766,339.59
  5. Step 5: Solve for x
    x = 449,766,339.59/28,167
  6. Step 6: Final answer
    x = 15,967.85

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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.