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Finding the Fourth Proportional to 2,262.11, 3,393.27 and 781.34

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Solution

The fourth proportional to 2,262.11, 3,393.27 and 781.34 is: 1,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.11 : 3,393.27 = 781.34 : x
  2. Step 2: Convert to fraction form
    2,262.11/3,393.27 = 781.34/x
  3. Step 3: Cross multiply
    2,262.11x = 3,393.27 × 781.34
  4. Step 4: Simplify right side
    2,262.11x = 2,651,280.62
  5. Step 5: Solve for x
    x = 2,651,280.62/2,262.11
  6. Step 6: Final answer
    x = 1,172.04

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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.