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Finding the Fourth Proportional to 17,871.85, 24,662.31 and 9,913.90

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Solution

The fourth proportional to 17,871.85, 24,662.31 and 9,913.90 is: 13,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.85 : 24,662.31 = 9,913.90 : x
  2. Step 2: Convert to fraction form
    17,871.85/24,662.31 = 9,913.90/x
  3. Step 3: Cross multiply
    17,871.85x = 24,662.31 × 9,913.90
  4. Step 4: Simplify right side
    17,871.85x = 244,499,675.11
  5. Step 5: Solve for x
    x = 244,499,675.11/17,871.85
  6. Step 6: Final answer
    x = 13,680.71

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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.