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Finding the Fourth Proportional to 8,199.92, 11,316.12 and 5,057.12

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Solution

The fourth proportional to 8,199.92, 11,316.12 and 5,057.12 is: 6,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.92 : 11,316.12 = 5,057.12 : x
  2. Step 2: Convert to fraction form
    8,199.92/11,316.12 = 5,057.12/x
  3. Step 3: Cross multiply
    8,199.92x = 11,316.12 × 5,057.12
  4. Step 4: Simplify right side
    8,199.92x = 57,226,976.77
  5. Step 5: Solve for x
    x = 57,226,976.77/8,199.92
  6. Step 6: Final answer
    x = 6,978.97

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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.