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Finding the Fourth Proportional to 6,387.40, 9,581.14 and 2,227.39

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Solution

The fourth proportional to 6,387.40, 9,581.14 and 2,227.39 is: 3,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.40 : 9,581.14 = 2,227.39 : x
  2. Step 2: Convert to fraction form
    6,387.40/9,581.14 = 2,227.39/x
  3. Step 3: Cross multiply
    6,387.40x = 9,581.14 × 2,227.39
  4. Step 4: Simplify right side
    6,387.40x = 21,340,925.62
  5. Step 5: Solve for x
    x = 21,340,925.62/6,387.40
  6. Step 6: Final answer
    x = 3,341.10

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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.