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Finding the Fourth Proportional to 8,099.74, 12,150.78 and 2,553.58

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Solution

The fourth proportional to 8,099.74, 12,150.78 and 2,553.58 is: 3,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.74 : 12,150.78 = 2,553.58 : x
  2. Step 2: Convert to fraction form
    8,099.74/12,150.78 = 2,553.58/x
  3. Step 3: Cross multiply
    8,099.74x = 12,150.78 × 2,553.58
  4. Step 4: Simplify right side
    8,099.74x = 31,027,988.79
  5. Step 5: Solve for x
    x = 31,027,988.79/8,099.74
  6. Step 6: Final answer
    x = 3,830.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.