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Finding the Fourth Proportional to 8,098.35, 11,177.81 and 5,272.78

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Solution

The fourth proportional to 8,098.35, 11,177.81 and 5,272.78 is: 7,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.35 : 11,177.81 = 5,272.78 : x
  2. Step 2: Convert to fraction form
    8,098.35/11,177.81 = 5,272.78/x
  3. Step 3: Cross multiply
    8,098.35x = 11,177.81 × 5,272.78
  4. Step 4: Simplify right side
    8,098.35x = 58,938,104.61
  5. Step 5: Solve for x
    x = 58,938,104.61/8,098.35
  6. Step 6: Final answer
    x = 7,277.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.