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Finding the Fourth Proportional to 12,614, 17,410.92 and 8,434.40

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Solution

The fourth proportional to 12,614, 17,410.92 and 8,434.40 is: 11,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614 : 17,410.92 = 8,434.40 : x
  2. Step 2: Convert to fraction form
    12,614/17,410.92 = 8,434.40/x
  3. Step 3: Cross multiply
    12,614x = 17,410.92 × 8,434.40
  4. Step 4: Simplify right side
    12,614x = 146,850,663.65
  5. Step 5: Solve for x
    x = 146,850,663.65/12,614
  6. Step 6: Final answer
    x = 11,641.88

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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.