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Finding the Fourth Proportional to 8,229.29, 12,280.66 and 7,354.49

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Solution

The fourth proportional to 8,229.29, 12,280.66 and 7,354.49 is: 10,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.29 : 12,280.66 = 7,354.49 : x
  2. Step 2: Convert to fraction form
    8,229.29/12,280.66 = 7,354.49/x
  3. Step 3: Cross multiply
    8,229.29x = 12,280.66 × 7,354.49
  4. Step 4: Simplify right side
    8,229.29x = 90,317,954.39
  5. Step 5: Solve for x
    x = 90,317,954.39/8,229.29
  6. Step 6: Final answer
    x = 10,975.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.