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Finding the Fourth Proportional to 2,449.50, 3,381.12 and 1,518

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Solution

The fourth proportional to 2,449.50, 3,381.12 and 1,518 is: 2,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.50 : 3,381.12 = 1,518 : x
  2. Step 2: Convert to fraction form
    2,449.50/3,381.12 = 1,518/x
  3. Step 3: Cross multiply
    2,449.50x = 3,381.12 × 1,518
  4. Step 4: Simplify right side
    2,449.50x = 5,132,540.16
  5. Step 5: Solve for x
    x = 5,132,540.16/2,449.50
  6. Step 6: Final answer
    x = 2,095.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.