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Finding the Fourth Proportional to 11,139.65, 15,372.14 and 6,359.41

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Solution

The fourth proportional to 11,139.65, 15,372.14 and 6,359.41 is: 8,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.65 : 15,372.14 = 6,359.41 : x
  2. Step 2: Convert to fraction form
    11,139.65/15,372.14 = 6,359.41/x
  3. Step 3: Cross multiply
    11,139.65x = 15,372.14 × 6,359.41
  4. Step 4: Simplify right side
    11,139.65x = 97,757,670.61
  5. Step 5: Solve for x
    x = 97,757,670.61/11,139.65
  6. Step 6: Final answer
    x = 8,775.65

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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.