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Finding the Fourth Proportional to 1,747.80, 2,412 and 961.90

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Solution

The fourth proportional to 1,747.80, 2,412 and 961.90 is: 1,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.80 : 2,412 = 961.90 : x
  2. Step 2: Convert to fraction form
    1,747.80/2,412 = 961.90/x
  3. Step 3: Cross multiply
    1,747.80x = 2,412 × 961.90
  4. Step 4: Simplify right side
    1,747.80x = 2,320,102.80
  5. Step 5: Solve for x
    x = 2,320,102.80/1,747.80
  6. Step 6: Final answer
    x = 1,327.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.