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Finding the Fourth Proportional to 42,548, 63,822 and 11,382.44

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Solution

The fourth proportional to 42,548, 63,822 and 11,382.44 is: 17,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,548 : 63,822 = 11,382.44 : x
  2. Step 2: Convert to fraction form
    42,548/63,822 = 11,382.44/x
  3. Step 3: Cross multiply
    42,548x = 63,822 × 11,382.44
  4. Step 4: Simplify right side
    42,548x = 726,450,085.68
  5. Step 5: Solve for x
    x = 726,450,085.68/42,548
  6. Step 6: Final answer
    x = 17,073.66

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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.