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Finding the Fourth Proportional to 2,402.98, 3,599.66 and 1,102.66

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Solution

The fourth proportional to 2,402.98, 3,599.66 and 1,102.66 is: 1,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.98 : 3,599.66 = 1,102.66 : x
  2. Step 2: Convert to fraction form
    2,402.98/3,599.66 = 1,102.66/x
  3. Step 3: Cross multiply
    2,402.98x = 3,599.66 × 1,102.66
  4. Step 4: Simplify right side
    2,402.98x = 3,969,201.10
  5. Step 5: Solve for x
    x = 3,969,201.10/2,402.98
  6. Step 6: Final answer
    x = 1,651.78

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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.