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Finding the Fourth Proportional to 1,747.86, 2,412 and 961.92

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Solution

The fourth proportional to 1,747.86, 2,412 and 961.92 is: 1,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.86 : 2,412 = 961.92 : x
  2. Step 2: Convert to fraction form
    1,747.86/2,412 = 961.92/x
  3. Step 3: Cross multiply
    1,747.86x = 2,412 × 961.92
  4. Step 4: Simplify right side
    1,747.86x = 2,320,151.04
  5. Step 5: Solve for x
    x = 2,320,151.04/1,747.86
  6. Step 6: Final answer
    x = 1,327.42

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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.