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Finding the Fourth Proportional to 11,327, 15,631.26 and 6,359

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Solution

The fourth proportional to 11,327, 15,631.26 and 6,359 is: 8,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327 : 15,631.26 = 6,359 : x
  2. Step 2: Convert to fraction form
    11,327/15,631.26 = 6,359/x
  3. Step 3: Cross multiply
    11,327x = 15,631.26 × 6,359
  4. Step 4: Simplify right side
    11,327x = 99,399,182.34
  5. Step 5: Solve for x
    x = 99,399,182.34/11,327
  6. Step 6: Final answer
    x = 8,775.42

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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.