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Finding the Fourth Proportional to 3,956.67, 5,943.24 and 3,140.64

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Solution

The fourth proportional to 3,956.67, 5,943.24 and 3,140.64 is: 4,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.67 : 5,943.24 = 3,140.64 : x
  2. Step 2: Convert to fraction form
    3,956.67/5,943.24 = 3,140.64/x
  3. Step 3: Cross multiply
    3,956.67x = 5,943.24 × 3,140.64
  4. Step 4: Simplify right side
    3,956.67x = 18,665,577.27
  5. Step 5: Solve for x
    x = 18,665,577.27/3,956.67
  6. Step 6: Final answer
    x = 4,717.50

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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.