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Finding the Fourth Proportional to 8,230.29, 12,282.15 and 7,355.49

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Solution

The fourth proportional to 8,230.29, 12,282.15 and 7,355.49 is: 10,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.29 : 12,282.15 = 7,355.49 : x
  2. Step 2: Convert to fraction form
    8,230.29/12,282.15 = 7,355.49/x
  3. Step 3: Cross multiply
    8,230.29x = 12,282.15 × 7,355.49
  4. Step 4: Simplify right side
    8,230.29x = 90,341,231.50
  5. Step 5: Solve for x
    x = 90,341,231.50/8,230.29
  6. Step 6: Final answer
    x = 10,976.68

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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.