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Finding the Fourth Proportional to 2,502.72, 3,446.12 and 2,268.32

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Solution

The fourth proportional to 2,502.72, 3,446.12 and 2,268.32 is: 3,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.72 : 3,446.12 = 2,268.32 : x
  2. Step 2: Convert to fraction form
    2,502.72/3,446.12 = 2,268.32/x
  3. Step 3: Cross multiply
    2,502.72x = 3,446.12 × 2,268.32
  4. Step 4: Simplify right side
    2,502.72x = 7,816,902.92
  5. Step 5: Solve for x
    x = 7,816,902.92/2,502.72
  6. Step 6: Final answer
    x = 3,123.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.