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Finding the Fourth Proportional to 3,772.80, 5,648.04 and 2,803.20

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Solution

The fourth proportional to 3,772.80, 5,648.04 and 2,803.20 is: 4,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.80 : 5,648.04 = 2,803.20 : x
  2. Step 2: Convert to fraction form
    3,772.80/5,648.04 = 2,803.20/x
  3. Step 3: Cross multiply
    3,772.80x = 5,648.04 × 2,803.20
  4. Step 4: Simplify right side
    3,772.80x = 15,832,585.73
  5. Step 5: Solve for x
    x = 15,832,585.73/3,772.80
  6. Step 6: Final answer
    x = 4,196.51

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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.