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Finding the Fourth Proportional to 3,278.68, 4,919.18 and 1,524.52

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Solution

The fourth proportional to 3,278.68, 4,919.18 and 1,524.52 is: 2,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.68 : 4,919.18 = 1,524.52 : x
  2. Step 2: Convert to fraction form
    3,278.68/4,919.18 = 1,524.52/x
  3. Step 3: Cross multiply
    3,278.68x = 4,919.18 × 1,524.52
  4. Step 4: Simplify right side
    3,278.68x = 7,499,388.29
  5. Step 5: Solve for x
    x = 7,499,388.29/3,278.68
  6. Step 6: Final answer
    x = 2,287.32

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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.