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Finding the Fourth Proportional to 3,972.24, 5,958.36 and 1,780.92

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Solution

The fourth proportional to 3,972.24, 5,958.36 and 1,780.92 is: 2,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.24 : 5,958.36 = 1,780.92 : x
  2. Step 2: Convert to fraction form
    3,972.24/5,958.36 = 1,780.92/x
  3. Step 3: Cross multiply
    3,972.24x = 5,958.36 × 1,780.92
  4. Step 4: Simplify right side
    3,972.24x = 10,611,362.49
  5. Step 5: Solve for x
    x = 10,611,362.49/3,972.24
  6. Step 6: Final answer
    x = 2,671.38

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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.