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Finding the Fourth Proportional to 2,502.65, 3,755.31 and 1,407.09

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Solution

The fourth proportional to 2,502.65, 3,755.31 and 1,407.09 is: 2,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.65 : 3,755.31 = 1,407.09 : x
  2. Step 2: Convert to fraction form
    2,502.65/3,755.31 = 1,407.09/x
  3. Step 3: Cross multiply
    2,502.65x = 3,755.31 × 1,407.09
  4. Step 4: Simplify right side
    2,502.65x = 5,284,052.11
  5. Step 5: Solve for x
    x = 5,284,052.11/2,502.65
  6. Step 6: Final answer
    x = 2,111.39

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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.