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Finding the Fourth Proportional to 3,612.53, 5,419.24 and 1,015.47

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Solution

The fourth proportional to 3,612.53, 5,419.24 and 1,015.47 is: 1,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.53 : 5,419.24 = 1,015.47 : x
  2. Step 2: Convert to fraction form
    3,612.53/5,419.24 = 1,015.47/x
  3. Step 3: Cross multiply
    3,612.53x = 5,419.24 × 1,015.47
  4. Step 4: Simplify right side
    3,612.53x = 5,503,073.10
  5. Step 5: Solve for x
    x = 5,503,073.10/3,612.53
  6. Step 6: Final answer
    x = 1,523.33

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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.