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Finding the Fourth Proportional to 1,247.76, 1,879.07 and 1,087.38

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Solution

The fourth proportional to 1,247.76, 1,879.07 and 1,087.38 is: 1,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.76 : 1,879.07 = 1,087.38 : x
  2. Step 2: Convert to fraction form
    1,247.76/1,879.07 = 1,087.38/x
  3. Step 3: Cross multiply
    1,247.76x = 1,879.07 × 1,087.38
  4. Step 4: Simplify right side
    1,247.76x = 2,043,257.70
  5. Step 5: Solve for x
    x = 2,043,257.70/1,247.76
  6. Step 6: Final answer
    x = 1,637.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.