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Finding the Fourth Proportional to 8,199.84, 11,319.84 and 5,057.76

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Solution

The fourth proportional to 8,199.84, 11,319.84 and 5,057.76 is: 6,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.84 : 11,319.84 = 5,057.76 : x
  2. Step 2: Convert to fraction form
    8,199.84/11,319.84 = 5,057.76/x
  3. Step 3: Cross multiply
    8,199.84x = 11,319.84 × 5,057.76
  4. Step 4: Simplify right side
    8,199.84x = 57,253,033.96
  5. Step 5: Solve for x
    x = 57,253,033.96/8,199.84
  6. Step 6: Final answer
    x = 6,982.21

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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.