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Finding the Fourth Proportional to 2,487.84, 3,732.29 and 1,254.75

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Solution

The fourth proportional to 2,487.84, 3,732.29 and 1,254.75 is: 1,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.84 : 3,732.29 = 1,254.75 : x
  2. Step 2: Convert to fraction form
    2,487.84/3,732.29 = 1,254.75/x
  3. Step 3: Cross multiply
    2,487.84x = 3,732.29 × 1,254.75
  4. Step 4: Simplify right side
    2,487.84x = 4,683,090.88
  5. Step 5: Solve for x
    x = 4,683,090.88/2,487.84
  6. Step 6: Final answer
    x = 1,882.39

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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.