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Finding the Fourth Proportional to 9,691.35, 13,375.53 and 5,916.71

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Solution

The fourth proportional to 9,691.35, 13,375.53 and 5,916.71 is: 8,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.35 : 13,375.53 = 5,916.71 : x
  2. Step 2: Convert to fraction form
    9,691.35/13,375.53 = 5,916.71/x
  3. Step 3: Cross multiply
    9,691.35x = 13,375.53 × 5,916.71
  4. Step 4: Simplify right side
    9,691.35x = 79,139,165.55
  5. Step 5: Solve for x
    x = 79,139,165.55/9,691.35
  6. Step 6: Final answer
    x = 8,165.96

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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.