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Finding the Fourth Proportional to 1,373.62, 2,058 and 1,141.15

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Solution

The fourth proportional to 1,373.62, 2,058 and 1,141.15 is: 1,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.62 : 2,058 = 1,141.15 : x
  2. Step 2: Convert to fraction form
    1,373.62/2,058 = 1,141.15/x
  3. Step 3: Cross multiply
    1,373.62x = 2,058 × 1,141.15
  4. Step 4: Simplify right side
    1,373.62x = 2,348,486.70
  5. Step 5: Solve for x
    x = 2,348,486.70/1,373.62
  6. Step 6: Final answer
    x = 1,709.71

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Why These Related Problems?

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