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Finding the Fourth Proportional to 1,252.97, 1,879.91 and 1,151.82

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Solution

The fourth proportional to 1,252.97, 1,879.91 and 1,151.82 is: 1,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.97 : 1,879.91 = 1,151.82 : x
  2. Step 2: Convert to fraction form
    1,252.97/1,879.91 = 1,151.82/x
  3. Step 3: Cross multiply
    1,252.97x = 1,879.91 × 1,151.82
  4. Step 4: Simplify right side
    1,252.97x = 2,165,316.50
  5. Step 5: Solve for x
    x = 2,165,316.50/1,252.97
  6. Step 6: Final answer
    x = 1,728.15

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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.