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Finding the Fourth Proportional to 2,502.96, 3,755.28 and 1,187.76

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Solution

The fourth proportional to 2,502.96, 3,755.28 and 1,187.76 is: 1,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.96 : 3,755.28 = 1,187.76 : x
  2. Step 2: Convert to fraction form
    2,502.96/3,755.28 = 1,187.76/x
  3. Step 3: Cross multiply
    2,502.96x = 3,755.28 × 1,187.76
  4. Step 4: Simplify right side
    2,502.96x = 4,460,371.37
  5. Step 5: Solve for x
    x = 4,460,371.37/2,502.96
  6. Step 6: Final answer
    x = 1,782.04

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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.