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Finding the Fourth Proportional to 3,700.88, 5,111.04 and 3,201.12

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Solution

The fourth proportional to 3,700.88, 5,111.04 and 3,201.12 is: 4,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.88 : 5,111.04 = 3,201.12 : x
  2. Step 2: Convert to fraction form
    3,700.88/5,111.04 = 3,201.12/x
  3. Step 3: Cross multiply
    3,700.88x = 5,111.04 × 3,201.12
  4. Step 4: Simplify right side
    3,700.88x = 16,361,052.36
  5. Step 5: Solve for x
    x = 16,361,052.36/3,700.88
  6. Step 6: Final answer
    x = 4,420.85

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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.