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Finding the Fourth Proportional to 3,977.50, 5,957.02 and 3,839.11

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Solution

The fourth proportional to 3,977.50, 5,957.02 and 3,839.11 is: 5,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.50 : 5,957.02 = 3,839.11 : x
  2. Step 2: Convert to fraction form
    3,977.50/5,957.02 = 3,839.11/x
  3. Step 3: Cross multiply
    3,977.50x = 5,957.02 × 3,839.11
  4. Step 4: Simplify right side
    3,977.50x = 22,869,655.05
  5. Step 5: Solve for x
    x = 22,869,655.05/3,977.50
  6. Step 6: Final answer
    x = 5,749.76

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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.