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Finding the Fourth Proportional to 2,252.32, 3,381 and 1,098.88

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Solution

The fourth proportional to 2,252.32, 3,381 and 1,098.88 is: 1,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.32 : 3,381 = 1,098.88 : x
  2. Step 2: Convert to fraction form
    2,252.32/3,381 = 1,098.88/x
  3. Step 3: Cross multiply
    2,252.32x = 3,381 × 1,098.88
  4. Step 4: Simplify right side
    2,252.32x = 3,715,313.28
  5. Step 5: Solve for x
    x = 3,715,313.28/2,252.32
  6. Step 6: Final answer
    x = 1,649.55

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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.