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Finding the Fourth Proportional to 1,333.14, 1,842.39 and 1,138.74

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Solution

The fourth proportional to 1,333.14, 1,842.39 and 1,138.74 is: 1,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.14 : 1,842.39 = 1,138.74 : x
  2. Step 2: Convert to fraction form
    1,333.14/1,842.39 = 1,138.74/x
  3. Step 3: Cross multiply
    1,333.14x = 1,842.39 × 1,138.74
  4. Step 4: Simplify right side
    1,333.14x = 2,098,003.19
  5. Step 5: Solve for x
    x = 2,098,003.19/1,333.14
  6. Step 6: Final answer
    x = 1,573.73

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Why These Related Problems?

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