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Finding the Fourth Proportional to 12,758.68, 17,608.62 and 7,170.76

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Solution

The fourth proportional to 12,758.68, 17,608.62 and 7,170.76 is: 9,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.68 : 17,608.62 = 7,170.76 : x
  2. Step 2: Convert to fraction form
    12,758.68/17,608.62 = 7,170.76/x
  3. Step 3: Cross multiply
    12,758.68x = 17,608.62 × 7,170.76
  4. Step 4: Simplify right side
    12,758.68x = 126,267,187.95
  5. Step 5: Solve for x
    x = 126,267,187.95/12,758.68
  6. Step 6: Final answer
    x = 9,896.57

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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.