Home / 20,032-27,640.86-11,077.75

Finding the Fourth Proportional to 20,032, 27,640.86 and 11,077.75

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Solution

The fourth proportional to 20,032, 27,640.86 and 11,077.75 is: 15,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032 : 27,640.86 = 11,077.75 : x
  2. Step 2: Convert to fraction form
    20,032/27,640.86 = 11,077.75/x
  3. Step 3: Cross multiply
    20,032x = 27,640.86 × 11,077.75
  4. Step 4: Simplify right side
    20,032x = 306,198,536.87
  5. Step 5: Solve for x
    x = 306,198,536.87/20,032
  6. Step 6: Final answer
    x = 15,285.47

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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.