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Finding the Fourth Proportional to 8,515.80, 12,769.43 and 5,402.06

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Solution

The fourth proportional to 8,515.80, 12,769.43 and 5,402.06 is: 8,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.80 : 12,769.43 = 5,402.06 : x
  2. Step 2: Convert to fraction form
    8,515.80/12,769.43 = 5,402.06/x
  3. Step 3: Cross multiply
    8,515.80x = 12,769.43 × 5,402.06
  4. Step 4: Simplify right side
    8,515.80x = 68,981,227.03
  5. Step 5: Solve for x
    x = 68,981,227.03/8,515.80
  6. Step 6: Final answer
    x = 8,100.38

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1.5x scale

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.