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Finding the Fourth Proportional to 9,691.01, 13,375.67 and 5,913.36

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Solution

The fourth proportional to 9,691.01, 13,375.67 and 5,913.36 is: 8,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.01 : 13,375.67 = 5,913.36 : x
  2. Step 2: Convert to fraction form
    9,691.01/13,375.67 = 5,913.36/x
  3. Step 3: Cross multiply
    9,691.01x = 13,375.67 × 5,913.36
  4. Step 4: Simplify right side
    9,691.01x = 79,095,191.81
  5. Step 5: Solve for x
    x = 79,095,191.81/9,691.01
  6. Step 6: Final answer
    x = 8,161.71

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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.