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Finding the Fourth Proportional to 3,776.80, 5,654.04 and 2,807.20

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Solution

The fourth proportional to 3,776.80, 5,654.04 and 2,807.20 is: 4,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.80 : 5,654.04 = 2,807.20 : x
  2. Step 2: Convert to fraction form
    3,776.80/5,654.04 = 2,807.20/x
  3. Step 3: Cross multiply
    3,776.80x = 5,654.04 × 2,807.20
  4. Step 4: Simplify right side
    3,776.80x = 15,872,021.09
  5. Step 5: Solve for x
    x = 15,872,021.09/3,776.80
  6. Step 6: Final answer
    x = 4,202.51

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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.