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Finding the Fourth Proportional to 3,470.87, 5,206.12 and 1,279.42

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Solution

The fourth proportional to 3,470.87, 5,206.12 and 1,279.42 is: 1,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.87 : 5,206.12 = 1,279.42 : x
  2. Step 2: Convert to fraction form
    3,470.87/5,206.12 = 1,279.42/x
  3. Step 3: Cross multiply
    3,470.87x = 5,206.12 × 1,279.42
  4. Step 4: Simplify right side
    3,470.87x = 6,660,781.62
  5. Step 5: Solve for x
    x = 6,660,781.62/3,470.87
  6. Step 6: Final answer
    x = 1,919.05

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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.