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Finding the Fourth Proportional to 17,874.77, 24,668.35 and 9,917.87

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Solution

The fourth proportional to 17,874.77, 24,668.35 and 9,917.87 is: 13,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.77 : 24,668.35 = 9,917.87 : x
  2. Step 2: Convert to fraction form
    17,874.77/24,668.35 = 9,917.87/x
  3. Step 3: Cross multiply
    17,874.77x = 24,668.35 × 9,917.87
  4. Step 4: Simplify right side
    17,874.77x = 244,657,488.41
  5. Step 5: Solve for x
    x = 244,657,488.41/17,874.77
  6. Step 6: Final answer
    x = 13,687.31

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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.