Home / 20,996-28,974.49-11,564.57

Finding the Fourth Proportional to 20,996, 28,974.49 and 11,564.57

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Solution

The fourth proportional to 20,996, 28,974.49 and 11,564.57 is: 15,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996 : 28,974.49 = 11,564.57 : x
  2. Step 2: Convert to fraction form
    20,996/28,974.49 = 11,564.57/x
  3. Step 3: Cross multiply
    20,996x = 28,974.49 × 11,564.57
  4. Step 4: Simplify right side
    20,996x = 335,077,517.82
  5. Step 5: Solve for x
    x = 335,077,517.82/20,996
  6. Step 6: Final answer
    x = 15,959.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.