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Finding the Fourth Proportional to 6,386.92, 9,583.84 and 2,691.74

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Solution

The fourth proportional to 6,386.92, 9,583.84 and 2,691.74 is: 4,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.92 : 9,583.84 = 2,691.74 : x
  2. Step 2: Convert to fraction form
    6,386.92/9,583.84 = 2,691.74/x
  3. Step 3: Cross multiply
    6,386.92x = 9,583.84 × 2,691.74
  4. Step 4: Simplify right side
    6,386.92x = 25,797,205.48
  5. Step 5: Solve for x
    x = 25,797,205.48/6,386.92
  6. Step 6: Final answer
    x = 4,039.07

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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.