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Finding the Fourth Proportional to 2,502.09, 3,452.90 and 1,507.41

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Solution

The fourth proportional to 2,502.09, 3,452.90 and 1,507.41 is: 2,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.09 : 3,452.90 = 1,507.41 : x
  2. Step 2: Convert to fraction form
    2,502.09/3,452.90 = 1,507.41/x
  3. Step 3: Cross multiply
    2,502.09x = 3,452.90 × 1,507.41
  4. Step 4: Simplify right side
    2,502.09x = 5,204,928.45
  5. Step 5: Solve for x
    x = 5,204,928.45/2,502.09
  6. Step 6: Final answer
    x = 2,080.23

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