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Finding the Fourth Proportional to 2,987.76, 4,470.60 and 2,581.68

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Solution

The fourth proportional to 2,987.76, 4,470.60 and 2,581.68 is: 3,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.76 : 4,470.60 = 2,581.68 : x
  2. Step 2: Convert to fraction form
    2,987.76/4,470.60 = 2,581.68/x
  3. Step 3: Cross multiply
    2,987.76x = 4,470.60 × 2,581.68
  4. Step 4: Simplify right side
    2,987.76x = 11,541,658.61
  5. Step 5: Solve for x
    x = 11,541,658.61/2,987.76
  6. Step 6: Final answer
    x = 3,862.98

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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.