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Finding the Fourth Proportional to 1,647.39, 2,468.92 and 781.95

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Solution

The fourth proportional to 1,647.39, 2,468.92 and 781.95 is: 1,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.39 : 2,468.92 = 781.95 : x
  2. Step 2: Convert to fraction form
    1,647.39/2,468.92 = 781.95/x
  3. Step 3: Cross multiply
    1,647.39x = 2,468.92 × 781.95
  4. Step 4: Simplify right side
    1,647.39x = 1,930,571.99
  5. Step 5: Solve for x
    x = 1,930,571.99/1,647.39
  6. Step 6: Final answer
    x = 1,171.90

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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.