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Finding the Fourth Proportional to 2,217.87, 3,319.52 and 1,974.87

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Solution

The fourth proportional to 2,217.87, 3,319.52 and 1,974.87 is: 2,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.87 : 3,319.52 = 1,974.87 : x
  2. Step 2: Convert to fraction form
    2,217.87/3,319.52 = 1,974.87/x
  3. Step 3: Cross multiply
    2,217.87x = 3,319.52 × 1,974.87
  4. Step 4: Simplify right side
    2,217.87x = 6,555,610.59
  5. Step 5: Solve for x
    x = 6,555,610.59/2,217.87
  6. Step 6: Final answer
    x = 2,955.81

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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.