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Finding the Fourth Proportional to 7,471.72, 11,198.94 and 3,965.14

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Solution

The fourth proportional to 7,471.72, 11,198.94 and 3,965.14 is: 5,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.72 : 11,198.94 = 3,965.14 : x
  2. Step 2: Convert to fraction form
    7,471.72/11,198.94 = 3,965.14/x
  3. Step 3: Cross multiply
    7,471.72x = 11,198.94 × 3,965.14
  4. Step 4: Simplify right side
    7,471.72x = 44,405,364.95
  5. Step 5: Solve for x
    x = 44,405,364.95/7,471.72
  6. Step 6: Final answer
    x = 5,943.12

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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.