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Finding the Fourth Proportional to 6,387.71, 9,582.78 and 2,491.82

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Solution

The fourth proportional to 6,387.71, 9,582.78 and 2,491.82 is: 3,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.71 : 9,582.78 = 2,491.82 : x
  2. Step 2: Convert to fraction form
    6,387.71/9,582.78 = 2,491.82/x
  3. Step 3: Cross multiply
    6,387.71x = 9,582.78 × 2,491.82
  4. Step 4: Simplify right side
    6,387.71x = 23,878,514.95
  5. Step 5: Solve for x
    x = 23,878,514.95/6,387.71
  6. Step 6: Final answer
    x = 3,738.20

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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.