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Finding the Fourth Proportional to 28,338, 42,507.90 and 8,616.73

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Solution

The fourth proportional to 28,338, 42,507.90 and 8,616.73 is: 12,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,338 : 42,507.90 = 8,616.73 : x
  2. Step 2: Convert to fraction form
    28,338/42,507.90 = 8,616.73/x
  3. Step 3: Cross multiply
    28,338x = 42,507.90 × 8,616.73
  4. Step 4: Simplify right side
    28,338x = 366,279,097.17
  5. Step 5: Solve for x
    x = 366,279,097.17/28,338
  6. Step 6: Final answer
    x = 12,925.37

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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.