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Finding the Fourth Proportional to 1,781.29, 2,452.98 and 1,742.95

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Solution

The fourth proportional to 1,781.29, 2,452.98 and 1,742.95 is: 2,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.29 : 2,452.98 = 1,742.95 : x
  2. Step 2: Convert to fraction form
    1,781.29/2,452.98 = 1,742.95/x
  3. Step 3: Cross multiply
    1,781.29x = 2,452.98 × 1,742.95
  4. Step 4: Simplify right side
    1,781.29x = 4,275,421.49
  5. Step 5: Solve for x
    x = 4,275,421.49/1,781.29
  6. Step 6: Final answer
    x = 2,400.18

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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.