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Finding the Fourth Proportional to 8,166.54, 11,256.12 and 6,251.70

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Solution

The fourth proportional to 8,166.54, 11,256.12 and 6,251.70 is: 8,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.54 : 11,256.12 = 6,251.70 : x
  2. Step 2: Convert to fraction form
    8,166.54/11,256.12 = 6,251.70/x
  3. Step 3: Cross multiply
    8,166.54x = 11,256.12 × 6,251.70
  4. Step 4: Simplify right side
    8,166.54x = 70,369,885.40
  5. Step 5: Solve for x
    x = 70,369,885.40/8,166.54
  6. Step 6: Final answer
    x = 8,616.85

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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.