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Finding the Fourth Proportional to 9,939, 13,715.82 and 5,523

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Solution

The fourth proportional to 9,939, 13,715.82 and 5,523 is: 7,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939 : 13,715.82 = 5,523 : x
  2. Step 2: Convert to fraction form
    9,939/13,715.82 = 5,523/x
  3. Step 3: Cross multiply
    9,939x = 13,715.82 × 5,523
  4. Step 4: Simplify right side
    9,939x = 75,752,473.86
  5. Step 5: Solve for x
    x = 75,752,473.86/9,939
  6. Step 6: Final answer
    x = 7,621.74

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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.