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Finding the Fourth Proportional to 6,691.79, 10,034.37 and 3,919.16

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Solution

The fourth proportional to 6,691.79, 10,034.37 and 3,919.16 is: 5,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.79 : 10,034.37 = 3,919.16 : x
  2. Step 2: Convert to fraction form
    6,691.79/10,034.37 = 3,919.16/x
  3. Step 3: Cross multiply
    6,691.79x = 10,034.37 × 3,919.16
  4. Step 4: Simplify right side
    6,691.79x = 39,326,301.53
  5. Step 5: Solve for x
    x = 39,326,301.53/6,691.79
  6. Step 6: Final answer
    x = 5,876.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.