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Finding the Fourth Proportional to 7,226.72, 9,972.89 and 4,082.91

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Solution

The fourth proportional to 7,226.72, 9,972.89 and 4,082.91 is: 5,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.72 : 9,972.89 = 4,082.91 : x
  2. Step 2: Convert to fraction form
    7,226.72/9,972.89 = 4,082.91/x
  3. Step 3: Cross multiply
    7,226.72x = 9,972.89 × 4,082.91
  4. Step 4: Simplify right side
    7,226.72x = 40,718,369.81
  5. Step 5: Solve for x
    x = 40,718,369.81/7,226.72
  6. Step 6: Final answer
    x = 5,634.42

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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.