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Finding the Fourth Proportional to 8,229.29, 11,362.65 and 8,212.88

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Solution

The fourth proportional to 8,229.29, 11,362.65 and 8,212.88 is: 11,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.29 : 11,362.65 = 8,212.88 : x
  2. Step 2: Convert to fraction form
    8,229.29/11,362.65 = 8,212.88/x
  3. Step 3: Cross multiply
    8,229.29x = 11,362.65 × 8,212.88
  4. Step 4: Simplify right side
    8,229.29x = 93,320,109.34
  5. Step 5: Solve for x
    x = 93,320,109.34/8,229.29
  6. Step 6: Final answer
    x = 11,340.00

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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.