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Finding the Fourth Proportional to 3,977.88, 5,484.80 and 3,229.48

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Solution

The fourth proportional to 3,977.88, 5,484.80 and 3,229.48 is: 4,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.88 : 5,484.80 = 3,229.48 : x
  2. Step 2: Convert to fraction form
    3,977.88/5,484.80 = 3,229.48/x
  3. Step 3: Cross multiply
    3,977.88x = 5,484.80 × 3,229.48
  4. Step 4: Simplify right side
    3,977.88x = 17,713,051.90
  5. Step 5: Solve for x
    x = 17,713,051.90/3,977.88
  6. Step 6: Final answer
    x = 4,452.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.