Home / 20,812-31,221.11-7,663.36

Finding the Fourth Proportional to 20,812, 31,221.11 and 7,663.36

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Solution

The fourth proportional to 20,812, 31,221.11 and 7,663.36 is: 11,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812 : 31,221.11 = 7,663.36 : x
  2. Step 2: Convert to fraction form
    20,812/31,221.11 = 7,663.36/x
  3. Step 3: Cross multiply
    20,812x = 31,221.11 × 7,663.36
  4. Step 4: Simplify right side
    20,812x = 239,258,605.53
  5. Step 5: Solve for x
    x = 239,258,605.53/20,812
  6. Step 6: Final answer
    x = 11,496.19

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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.