Home / 20,932-31,395.68-6,141.04

Finding the Fourth Proportional to 20,932, 31,395.68 and 6,141.04

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Solution

The fourth proportional to 20,932, 31,395.68 and 6,141.04 is: 9,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932 : 31,395.68 = 6,141.04 : x
  2. Step 2: Convert to fraction form
    20,932/31,395.68 = 6,141.04/x
  3. Step 3: Cross multiply
    20,932x = 31,395.68 × 6,141.04
  4. Step 4: Simplify right side
    20,932x = 192,802,126.71
  5. Step 5: Solve for x
    x = 192,802,126.71/20,932
  6. Step 6: Final answer
    x = 9,210.88

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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.