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Finding the Fourth Proportional to 2,502.13, 3,454.31 and 1,507.63

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Solution

The fourth proportional to 2,502.13, 3,454.31 and 1,507.63 is: 2,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.13 : 3,454.31 = 1,507.63 : x
  2. Step 2: Convert to fraction form
    2,502.13/3,454.31 = 1,507.63/x
  3. Step 3: Cross multiply
    2,502.13x = 3,454.31 × 1,507.63
  4. Step 4: Simplify right side
    2,502.13x = 5,207,821.39
  5. Step 5: Solve for x
    x = 5,207,821.39/2,502.13
  6. Step 6: Final answer
    x = 2,081.36

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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.