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Finding the Fourth Proportional to 3,612.70, 5,419.62 and 1,532.71

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Solution

The fourth proportional to 3,612.70, 5,419.62 and 1,532.71 is: 2,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.70 : 5,419.62 = 1,532.71 : x
  2. Step 2: Convert to fraction form
    3,612.70/5,419.62 = 1,532.71/x
  3. Step 3: Cross multiply
    3,612.70x = 5,419.62 × 1,532.71
  4. Step 4: Simplify right side
    3,612.70x = 8,306,705.77
  5. Step 5: Solve for x
    x = 8,306,705.77/3,612.70
  6. Step 6: Final answer
    x = 2,299.31

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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.