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Finding the Fourth Proportional to 21,162.97, 31,759.04 and 7,311.97

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Solution

The fourth proportional to 21,162.97, 31,759.04 and 7,311.97 is: 10,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.97 : 31,759.04 = 7,311.97 : x
  2. Step 2: Convert to fraction form
    21,162.97/31,759.04 = 7,311.97/x
  3. Step 3: Cross multiply
    21,162.97x = 31,759.04 × 7,311.97
  4. Step 4: Simplify right side
    21,162.97x = 232,221,147.71
  5. Step 5: Solve for x
    x = 232,221,147.71/21,162.97
  6. Step 6: Final answer
    x = 10,972.99

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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.