Home / 20,981.26-31,462.17-7,824.16

Finding the Fourth Proportional to 20,981.26, 31,462.17 and 7,824.16

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Solution

The fourth proportional to 20,981.26, 31,462.17 and 7,824.16 is: 11,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981.26 : 31,462.17 = 7,824.16 : x
  2. Step 2: Convert to fraction form
    20,981.26/31,462.17 = 7,824.16/x
  3. Step 3: Cross multiply
    20,981.26x = 31,462.17 × 7,824.16
  4. Step 4: Simplify right side
    20,981.26x = 246,165,052.03
  5. Step 5: Solve for x
    x = 246,165,052.03/20,981.26
  6. Step 6: Final answer
    x = 11,732.62

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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.