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Finding the Fourth Proportional to 17,878.43, 24,671.92 and 9,920.52

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Solution

The fourth proportional to 17,878.43, 24,671.92 and 9,920.52 is: 13,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.43 : 24,671.92 = 9,920.52 : x
  2. Step 2: Convert to fraction form
    17,878.43/24,671.92 = 9,920.52/x
  3. Step 3: Cross multiply
    17,878.43x = 24,671.92 × 9,920.52
  4. Step 4: Simplify right side
    17,878.43x = 244,758,275.80
  5. Step 5: Solve for x
    x = 244,758,275.80/17,878.43
  6. Step 6: Final answer
    x = 13,690.14

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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.