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Finding the Fourth Proportional to 2,387.48, 3,577.82 and 1,865.08

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Solution

The fourth proportional to 2,387.48, 3,577.82 and 1,865.08 is: 2,794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.48 : 3,577.82 = 1,865.08 : x
  2. Step 2: Convert to fraction form
    2,387.48/3,577.82 = 1,865.08/x
  3. Step 3: Cross multiply
    2,387.48x = 3,577.82 × 1,865.08
  4. Step 4: Simplify right side
    2,387.48x = 6,672,920.53
  5. Step 5: Solve for x
    x = 6,672,920.53/2,387.48
  6. Step 6: Final answer
    x = 2,794.96

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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.