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Finding the Fourth Proportional to 12,707.20, 17,524.80 and 8,515.20

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Solution

The fourth proportional to 12,707.20, 17,524.80 and 8,515.20 is: 11,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.20 : 17,524.80 = 8,515.20 : x
  2. Step 2: Convert to fraction form
    12,707.20/17,524.80 = 8,515.20/x
  3. Step 3: Cross multiply
    12,707.20x = 17,524.80 × 8,515.20
  4. Step 4: Simplify right side
    12,707.20x = 149,227,176.96
  5. Step 5: Solve for x
    x = 149,227,176.96/12,707.20
  6. Step 6: Final answer
    x = 11,743.51

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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.