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Finding the Fourth Proportional to 12,868.34, 17,757.70 and 7,278.26

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Solution

The fourth proportional to 12,868.34, 17,757.70 and 7,278.26 is: 10,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.34 : 17,757.70 = 7,278.26 : x
  2. Step 2: Convert to fraction form
    12,868.34/17,757.70 = 7,278.26/x
  3. Step 3: Cross multiply
    12,868.34x = 17,757.70 × 7,278.26
  4. Step 4: Simplify right side
    12,868.34x = 129,245,050.62
  5. Step 5: Solve for x
    x = 129,245,050.62/12,868.34
  6. Step 6: Final answer
    x = 10,043.65

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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.