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Finding the Fourth Proportional to 3,902.11, 5,853.17 and 980.42

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Solution

The fourth proportional to 3,902.11, 5,853.17 and 980.42 is: 1,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.11 : 5,853.17 = 980.42 : x
  2. Step 2: Convert to fraction form
    3,902.11/5,853.17 = 980.42/x
  3. Step 3: Cross multiply
    3,902.11x = 5,853.17 × 980.42
  4. Step 4: Simplify right side
    3,902.11x = 5,738,538.12
  5. Step 5: Solve for x
    x = 5,738,538.12/3,902.11
  6. Step 6: Final answer
    x = 1,470.63

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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.