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Finding the Fourth Proportional to 3,251.64, 4,866.12 and 2,659.80

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Solution

The fourth proportional to 3,251.64, 4,866.12 and 2,659.80 is: 3,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.64 : 4,866.12 = 2,659.80 : x
  2. Step 2: Convert to fraction form
    3,251.64/4,866.12 = 2,659.80/x
  3. Step 3: Cross multiply
    3,251.64x = 4,866.12 × 2,659.80
  4. Step 4: Simplify right side
    3,251.64x = 12,942,905.98
  5. Step 5: Solve for x
    x = 12,942,905.98/3,251.64
  6. Step 6: Final answer
    x = 3,980.42

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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.