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Finding the Fourth Proportional to 10,155.28, 15,224.84 and 6,667

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Solution

The fourth proportional to 10,155.28, 15,224.84 and 6,667 is: 9,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.28 : 15,224.84 = 6,667 : x
  2. Step 2: Convert to fraction form
    10,155.28/15,224.84 = 6,667/x
  3. Step 3: Cross multiply
    10,155.28x = 15,224.84 × 6,667
  4. Step 4: Simplify right side
    10,155.28x = 101,504,008.28
  5. Step 5: Solve for x
    x = 101,504,008.28/10,155.28
  6. Step 6: Final answer
    x = 9,995.20

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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.