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Finding the Fourth Proportional to 7,226.68, 9,972.84 and 4,082.80

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Solution

The fourth proportional to 7,226.68, 9,972.84 and 4,082.80 is: 5,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.68 : 9,972.84 = 4,082.80 : x
  2. Step 2: Convert to fraction form
    7,226.68/9,972.84 = 4,082.80/x
  3. Step 3: Cross multiply
    7,226.68x = 9,972.84 × 4,082.80
  4. Step 4: Simplify right side
    7,226.68x = 40,717,111.15
  5. Step 5: Solve for x
    x = 40,717,111.15/7,226.68
  6. Step 6: Final answer
    x = 5,634.28

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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.