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Finding the Fourth Proportional to 1,644.13, 2,462.14 and 1,275.85

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Solution

The fourth proportional to 1,644.13, 2,462.14 and 1,275.85 is: 1,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.13 : 2,462.14 = 1,275.85 : x
  2. Step 2: Convert to fraction form
    1,644.13/2,462.14 = 1,275.85/x
  3. Step 3: Cross multiply
    1,644.13x = 2,462.14 × 1,275.85
  4. Step 4: Simplify right side
    1,644.13x = 3,141,321.32
  5. Step 5: Solve for x
    x = 3,141,321.32/1,644.13
  6. Step 6: Final answer
    x = 1,910.63

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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.