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Finding the Fourth Proportional to 6,387.75, 9,581.66 and 2,227.74

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Solution

The fourth proportional to 6,387.75, 9,581.66 and 2,227.74 is: 3,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.75 : 9,581.66 = 2,227.74 : x
  2. Step 2: Convert to fraction form
    6,387.75/9,581.66 = 2,227.74/x
  3. Step 3: Cross multiply
    6,387.75x = 9,581.66 × 2,227.74
  4. Step 4: Simplify right side
    6,387.75x = 21,345,447.25
  5. Step 5: Solve for x
    x = 21,345,447.25/6,387.75
  6. Step 6: Final answer
    x = 3,341.62

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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.