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Finding the Fourth Proportional to 12,868.69, 17,757.97 and 7,202.49

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Solution

The fourth proportional to 12,868.69, 17,757.97 and 7,202.49 is: 9,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.69 : 17,757.97 = 7,202.49 : x
  2. Step 2: Convert to fraction form
    12,868.69/17,757.97 = 7,202.49/x
  3. Step 3: Cross multiply
    12,868.69x = 17,757.97 × 7,202.49
  4. Step 4: Simplify right side
    12,868.69x = 127,901,512.56
  5. Step 5: Solve for x
    x = 127,901,512.56/12,868.69
  6. Step 6: Final answer
    x = 9,938.97

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1.5x scale

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.