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Finding the Fourth Proportional to 2,387.64, 3,582.05 and 744.15

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Solution

The fourth proportional to 2,387.64, 3,582.05 and 744.15 is: 1,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.64 : 3,582.05 = 744.15 : x
  2. Step 2: Convert to fraction form
    2,387.64/3,582.05 = 744.15/x
  3. Step 3: Cross multiply
    2,387.64x = 3,582.05 × 744.15
  4. Step 4: Simplify right side
    2,387.64x = 2,665,578.79
  5. Step 5: Solve for x
    x = 2,665,578.79/2,387.64
  6. Step 6: Final answer
    x = 1,116.41

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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.