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Finding the Fourth Proportional to 3,934.80, 5,902.20 and 1,854.12

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Solution

The fourth proportional to 3,934.80, 5,902.20 and 1,854.12 is: 2,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.80 : 5,902.20 = 1,854.12 : x
  2. Step 2: Convert to fraction form
    3,934.80/5,902.20 = 1,854.12/x
  3. Step 3: Cross multiply
    3,934.80x = 5,902.20 × 1,854.12
  4. Step 4: Simplify right side
    3,934.80x = 10,943,387.06
  5. Step 5: Solve for x
    x = 10,943,387.06/3,934.80
  6. Step 6: Final answer
    x = 2,781.18

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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.