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Finding the Fourth Proportional to 1,363.59, 1,882.14 and 1,142.19

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Solution

The fourth proportional to 1,363.59, 1,882.14 and 1,142.19 is: 1,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.59 : 1,882.14 = 1,142.19 : x
  2. Step 2: Convert to fraction form
    1,363.59/1,882.14 = 1,142.19/x
  3. Step 3: Cross multiply
    1,363.59x = 1,882.14 × 1,142.19
  4. Step 4: Simplify right side
    1,363.59x = 2,149,761.49
  5. Step 5: Solve for x
    x = 2,149,761.49/1,363.59
  6. Step 6: Final answer
    x = 1,576.55

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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.