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Finding the Fourth Proportional to 8,500.77, 11,732.01 and 5,143.73

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Solution

The fourth proportional to 8,500.77, 11,732.01 and 5,143.73 is: 7,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.77 : 11,732.01 = 5,143.73 : x
  2. Step 2: Convert to fraction form
    8,500.77/11,732.01 = 5,143.73/x
  3. Step 3: Cross multiply
    8,500.77x = 11,732.01 × 5,143.73
  4. Step 4: Simplify right side
    8,500.77x = 60,346,233.14
  5. Step 5: Solve for x
    x = 60,346,233.14/8,500.77
  6. Step 6: Final answer
    x = 7,098.91

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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.