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Finding the Fourth Proportional to 3,970.80, 5,479.80 and 2,202.48

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Solution

The fourth proportional to 3,970.80, 5,479.80 and 2,202.48 is: 3,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.80 : 5,479.80 = 2,202.48 : x
  2. Step 2: Convert to fraction form
    3,970.80/5,479.80 = 2,202.48/x
  3. Step 3: Cross multiply
    3,970.80x = 5,479.80 × 2,202.48
  4. Step 4: Simplify right side
    3,970.80x = 12,069,149.90
  5. Step 5: Solve for x
    x = 12,069,149.90/3,970.80
  6. Step 6: Final answer
    x = 3,039.48

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1.5x scale

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.