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Finding the Fourth Proportional to 1,502.13, 2,251.23 and 1,039.17

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Solution

The fourth proportional to 1,502.13, 2,251.23 and 1,039.17 is: 1,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.13 : 2,251.23 = 1,039.17 : x
  2. Step 2: Convert to fraction form
    1,502.13/2,251.23 = 1,039.17/x
  3. Step 3: Cross multiply
    1,502.13x = 2,251.23 × 1,039.17
  4. Step 4: Simplify right side
    1,502.13x = 2,339,410.68
  5. Step 5: Solve for x
    x = 2,339,410.68/1,502.13
  6. Step 6: Final answer
    x = 1,557.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.