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Finding the Fourth Proportional to 4,320.78, 6,481.80 and 1,687.80

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Solution

The fourth proportional to 4,320.78, 6,481.80 and 1,687.80 is: 2,531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.78 : 6,481.80 = 1,687.80 : x
  2. Step 2: Convert to fraction form
    4,320.78/6,481.80 = 1,687.80/x
  3. Step 3: Cross multiply
    4,320.78x = 6,481.80 × 1,687.80
  4. Step 4: Simplify right side
    4,320.78x = 10,939,982.04
  5. Step 5: Solve for x
    x = 10,939,982.04/4,320.78
  6. Step 6: Final answer
    x = 2,531.95

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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.