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Finding the Fourth Proportional to 3,446.42, 5,169.62 and 981.26

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Solution

The fourth proportional to 3,446.42, 5,169.62 and 981.26 is: 1,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.42 : 5,169.62 = 981.26 : x
  2. Step 2: Convert to fraction form
    3,446.42/5,169.62 = 981.26/x
  3. Step 3: Cross multiply
    3,446.42x = 5,169.62 × 981.26
  4. Step 4: Simplify right side
    3,446.42x = 5,072,710.57
  5. Step 5: Solve for x
    x = 5,072,710.57/3,446.42
  6. Step 6: Final answer
    x = 1,471.88

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Similar ratio
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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.