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Finding the Fourth Proportional to 2,655.20, 3,982.80 and 2,232.80

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Solution

The fourth proportional to 2,655.20, 3,982.80 and 2,232.80 is: 3,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.20 : 3,982.80 = 2,232.80 : x
  2. Step 2: Convert to fraction form
    2,655.20/3,982.80 = 2,232.80/x
  3. Step 3: Cross multiply
    2,655.20x = 3,982.80 × 2,232.80
  4. Step 4: Simplify right side
    2,655.20x = 8,892,795.84
  5. Step 5: Solve for x
    x = 8,892,795.84/2,655.20
  6. Step 6: Final answer
    x = 3,349.20

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Similar ratio
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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.