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Finding the Fourth Proportional to 2,487.44, 3,732.18 and 1,188

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Solution

The fourth proportional to 2,487.44, 3,732.18 and 1,188 is: 1,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.44 : 3,732.18 = 1,188 : x
  2. Step 2: Convert to fraction form
    2,487.44/3,732.18 = 1,188/x
  3. Step 3: Cross multiply
    2,487.44x = 3,732.18 × 1,188
  4. Step 4: Simplify right side
    2,487.44x = 4,433,825.39
  5. Step 5: Solve for x
    x = 4,433,825.39/2,487.44
  6. Step 6: Final answer
    x = 1,782.48

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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.