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Finding the Fourth Proportional to 2,247.90, 3,371.88 and 687.90

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Solution

The fourth proportional to 2,247.90, 3,371.88 and 687.90 is: 1,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.90 : 3,371.88 = 687.90 : x
  2. Step 2: Convert to fraction form
    2,247.90/3,371.88 = 687.90/x
  3. Step 3: Cross multiply
    2,247.90x = 3,371.88 × 687.90
  4. Step 4: Simplify right side
    2,247.90x = 2,319,516.25
  5. Step 5: Solve for x
    x = 2,319,516.25/2,247.90
  6. Step 6: Final answer
    x = 1,031.86

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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.