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Finding the Fourth Proportional to 6,441.80, 9,660.18 and 2,280.20

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Solution

The fourth proportional to 6,441.80, 9,660.18 and 2,280.20 is: 3,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.80 : 9,660.18 = 2,280.20 : x
  2. Step 2: Convert to fraction form
    6,441.80/9,660.18 = 2,280.20/x
  3. Step 3: Cross multiply
    6,441.80x = 9,660.18 × 2,280.20
  4. Step 4: Simplify right side
    6,441.80x = 22,027,142.44
  5. Step 5: Solve for x
    x = 22,027,142.44/6,441.80
  6. Step 6: Final answer
    x = 3,419.41

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1.5x scale

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.