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Finding the Fourth Proportional to 8,199.49, 11,316.98 and 5,214.75

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Solution

The fourth proportional to 8,199.49, 11,316.98 and 5,214.75 is: 7,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.49 : 11,316.98 = 5,214.75 : x
  2. Step 2: Convert to fraction form
    8,199.49/11,316.98 = 5,214.75/x
  3. Step 3: Cross multiply
    8,199.49x = 11,316.98 × 5,214.75
  4. Step 4: Simplify right side
    8,199.49x = 59,015,195.38
  5. Step 5: Solve for x
    x = 59,015,195.38/8,199.49
  6. Step 6: Final answer
    x = 7,197.42

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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.