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Finding the Fourth Proportional to 3,969.60, 5,959.80 and 3,148.80

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Solution

The fourth proportional to 3,969.60, 5,959.80 and 3,148.80 is: 4,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.60 : 5,959.80 = 3,148.80 : x
  2. Step 2: Convert to fraction form
    3,969.60/5,959.80 = 3,148.80/x
  3. Step 3: Cross multiply
    3,969.60x = 5,959.80 × 3,148.80
  4. Step 4: Simplify right side
    3,969.60x = 18,766,218.24
  5. Step 5: Solve for x
    x = 18,766,218.24/3,969.60
  6. Step 6: Final answer
    x = 4,727.48

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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.