Home / 20,928-31,394.06-6,882.32

Finding the Fourth Proportional to 20,928, 31,394.06 and 6,882.32

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Solution

The fourth proportional to 20,928, 31,394.06 and 6,882.32 is: 10,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,928 : 31,394.06 = 6,882.32 : x
  2. Step 2: Convert to fraction form
    20,928/31,394.06 = 6,882.32/x
  3. Step 3: Cross multiply
    20,928x = 31,394.06 × 6,882.32
  4. Step 4: Simplify right side
    20,928x = 216,063,967.02
  5. Step 5: Solve for x
    x = 216,063,967.02/20,928
  6. Step 6: Final answer
    x = 10,324.16

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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.