Home / 2,342.12-3,512.24-781.70

Finding the Fourth Proportional to 2,342.12, 3,512.24 and 781.70

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Solution

The fourth proportional to 2,342.12, 3,512.24 and 781.70 is: 1,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.12 : 3,512.24 = 781.70 : x
  2. Step 2: Convert to fraction form
    2,342.12/3,512.24 = 781.70/x
  3. Step 3: Cross multiply
    2,342.12x = 3,512.24 × 781.70
  4. Step 4: Simplify right side
    2,342.12x = 2,745,518.01
  5. Step 5: Solve for x
    x = 2,745,518.01/2,342.12
  6. Step 6: Final answer
    x = 1,172.24

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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.