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Finding the Fourth Proportional to 2,320.88, 3,481.86 and 781.88

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Solution

The fourth proportional to 2,320.88, 3,481.86 and 781.88 is: 1,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.88 : 3,481.86 = 781.88 : x
  2. Step 2: Convert to fraction form
    2,320.88/3,481.86 = 781.88/x
  3. Step 3: Cross multiply
    2,320.88x = 3,481.86 × 781.88
  4. Step 4: Simplify right side
    2,320.88x = 2,722,379.29
  5. Step 5: Solve for x
    x = 2,722,379.29/2,320.88
  6. Step 6: Final answer
    x = 1,173.00

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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.