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Finding the Fourth Proportional to 11,344, 15,654.80 and 6,376

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Solution

The fourth proportional to 11,344, 15,654.80 and 6,376 is: 8,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344 : 15,654.80 = 6,376 : x
  2. Step 2: Convert to fraction form
    11,344/15,654.80 = 6,376/x
  3. Step 3: Cross multiply
    11,344x = 15,654.80 × 6,376
  4. Step 4: Simplify right side
    11,344x = 99,815,004.80
  5. Step 5: Solve for x
    x = 99,815,004.80/11,344
  6. Step 6: Final answer
    x = 8,798.92

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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.