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Finding the Fourth Proportional to 2,517.60, 3,778.80 and 2,152.80

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Solution

The fourth proportional to 2,517.60, 3,778.80 and 2,152.80 is: 3,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.60 : 3,778.80 = 2,152.80 : x
  2. Step 2: Convert to fraction form
    2,517.60/3,778.80 = 2,152.80/x
  3. Step 3: Cross multiply
    2,517.60x = 3,778.80 × 2,152.80
  4. Step 4: Simplify right side
    2,517.60x = 8,135,000.64
  5. Step 5: Solve for x
    x = 8,135,000.64/2,517.60
  6. Step 6: Final answer
    x = 3,231.25

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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.