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Finding the Fourth Proportional to 1,234.52, 1,839.13 and 1,160.12

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Solution

The fourth proportional to 1,234.52, 1,839.13 and 1,160.12 is: 1,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.52 : 1,839.13 = 1,160.12 : x
  2. Step 2: Convert to fraction form
    1,234.52/1,839.13 = 1,160.12/x
  3. Step 3: Cross multiply
    1,234.52x = 1,839.13 × 1,160.12
  4. Step 4: Simplify right side
    1,234.52x = 2,133,611.50
  5. Step 5: Solve for x
    x = 2,133,611.50/1,234.52
  6. Step 6: Final answer
    x = 1,728.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.