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Finding the Fourth Proportional to 2,487.51, 3,734.10 and 1,256.31

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Solution

The fourth proportional to 2,487.51, 3,734.10 and 1,256.31 is: 1,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.51 : 3,734.10 = 1,256.31 : x
  2. Step 2: Convert to fraction form
    2,487.51/3,734.10 = 1,256.31/x
  3. Step 3: Cross multiply
    2,487.51x = 3,734.10 × 1,256.31
  4. Step 4: Simplify right side
    2,487.51x = 4,691,187.17
  5. Step 5: Solve for x
    x = 4,691,187.17/2,487.51
  6. Step 6: Final answer
    x = 1,885.90

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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.