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Finding the Fourth Proportional to 8,639.73, 12,977.42 and 5,687.37

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Solution

The fourth proportional to 8,639.73, 12,977.42 and 5,687.37 is: 8,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639.73 : 12,977.42 = 5,687.37 : x
  2. Step 2: Convert to fraction form
    8,639.73/12,977.42 = 5,687.37/x
  3. Step 3: Cross multiply
    8,639.73x = 12,977.42 × 5,687.37
  4. Step 4: Simplify right side
    8,639.73x = 73,807,360.75
  5. Step 5: Solve for x
    x = 73,807,360.75/8,639.73
  6. Step 6: Final answer
    x = 8,542.79

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Why These Related Problems?

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