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Finding the Fourth Proportional to 1,658.36, 2,481.90 and 1,261.92

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Solution

The fourth proportional to 1,658.36, 2,481.90 and 1,261.92 is: 1,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.36 : 2,481.90 = 1,261.92 : x
  2. Step 2: Convert to fraction form
    1,658.36/2,481.90 = 1,261.92/x
  3. Step 3: Cross multiply
    1,658.36x = 2,481.90 × 1,261.92
  4. Step 4: Simplify right side
    1,658.36x = 3,131,959.25
  5. Step 5: Solve for x
    x = 3,131,959.25/1,658.36
  6. Step 6: Final answer
    x = 1,888.59

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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.