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Finding the Fourth Proportional to 2,489.49, 3,736.54 and 1,257.76

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Solution

The fourth proportional to 2,489.49, 3,736.54 and 1,257.76 is: 1,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.49 : 3,736.54 = 1,257.76 : x
  2. Step 2: Convert to fraction form
    2,489.49/3,736.54 = 1,257.76/x
  3. Step 3: Cross multiply
    2,489.49x = 3,736.54 × 1,257.76
  4. Step 4: Simplify right side
    2,489.49x = 4,699,676.79
  5. Step 5: Solve for x
    x = 4,699,676.79/2,489.49
  6. Step 6: Final answer
    x = 1,887.81

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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.