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Finding the Fourth Proportional to 7,232.12, 9,980.22 and 3,920.12

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Solution

The fourth proportional to 7,232.12, 9,980.22 and 3,920.12 is: 5,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.12 : 9,980.22 = 3,920.12 : x
  2. Step 2: Convert to fraction form
    7,232.12/9,980.22 = 3,920.12/x
  3. Step 3: Cross multiply
    7,232.12x = 9,980.22 × 3,920.12
  4. Step 4: Simplify right side
    7,232.12x = 39,123,660.03
  5. Step 5: Solve for x
    x = 39,123,660.03/7,232.12
  6. Step 6: Final answer
    x = 5,409.71

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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.