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Finding the Fourth Proportional to 7,231.92, 9,981.84 and 4,089.96

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Solution

The fourth proportional to 7,231.92, 9,981.84 and 4,089.96 is: 5,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.92 : 9,981.84 = 4,089.96 : x
  2. Step 2: Convert to fraction form
    7,231.92/9,981.84 = 4,089.96/x
  3. Step 3: Cross multiply
    7,231.92x = 9,981.84 × 4,089.96
  4. Step 4: Simplify right side
    7,231.92x = 40,825,326.33
  5. Step 5: Solve for x
    x = 40,825,326.33/7,231.92
  6. Step 6: Final answer
    x = 5,645.16

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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.