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Finding the Fourth Proportional to 7,226.88, 9,972.97 and 4,039.98

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Solution

The fourth proportional to 7,226.88, 9,972.97 and 4,039.98 is: 5,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.88 : 9,972.97 = 4,039.98 : x
  2. Step 2: Convert to fraction form
    7,226.88/9,972.97 = 4,039.98/x
  3. Step 3: Cross multiply
    7,226.88x = 9,972.97 × 4,039.98
  4. Step 4: Simplify right side
    7,226.88x = 40,290,589.24
  5. Step 5: Solve for x
    x = 40,290,589.24/7,226.88
  6. Step 6: Final answer
    x = 5,575.10

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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.