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Finding the Fourth Proportional to 3,972.96, 5,958.48 and 1,377.12

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Solution

The fourth proportional to 3,972.96, 5,958.48 and 1,377.12 is: 2,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.96 : 5,958.48 = 1,377.12 : x
  2. Step 2: Convert to fraction form
    3,972.96/5,958.48 = 1,377.12/x
  3. Step 3: Cross multiply
    3,972.96x = 5,958.48 × 1,377.12
  4. Step 4: Simplify right side
    3,972.96x = 8,205,541.98
  5. Step 5: Solve for x
    x = 8,205,541.98/3,972.96
  6. Step 6: Final answer
    x = 2,065.35

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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.