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Finding the Fourth Proportional to 2,168.15, 3,252.33 and 781.43

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Solution

The fourth proportional to 2,168.15, 3,252.33 and 781.43 is: 1,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.15 : 3,252.33 = 781.43 : x
  2. Step 2: Convert to fraction form
    2,168.15/3,252.33 = 781.43/x
  3. Step 3: Cross multiply
    2,168.15x = 3,252.33 × 781.43
  4. Step 4: Simplify right side
    2,168.15x = 2,541,451.97
  5. Step 5: Solve for x
    x = 2,541,451.97/2,168.15
  6. Step 6: Final answer
    x = 1,172.18

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1.5x scale

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.