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Finding the Fourth Proportional to 5,612.80, 8,419.20 and 1,914.88

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Solution

The fourth proportional to 5,612.80, 8,419.20 and 1,914.88 is: 2,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.80 : 8,419.20 = 1,914.88 : x
  2. Step 2: Convert to fraction form
    5,612.80/8,419.20 = 1,914.88/x
  3. Step 3: Cross multiply
    5,612.80x = 8,419.20 × 1,914.88
  4. Step 4: Simplify right side
    5,612.80x = 16,121,757.70
  5. Step 5: Solve for x
    x = 16,121,757.70/5,612.80
  6. Step 6: Final answer
    x = 2,872.32

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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.