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Finding the Fourth Proportional to 8,456.94, 12,687.84 and 2,614.68

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Solution

The fourth proportional to 8,456.94, 12,687.84 and 2,614.68 is: 3,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.94 : 12,687.84 = 2,614.68 : x
  2. Step 2: Convert to fraction form
    8,456.94/12,687.84 = 2,614.68/x
  3. Step 3: Cross multiply
    8,456.94x = 12,687.84 × 2,614.68
  4. Step 4: Simplify right side
    8,456.94x = 33,174,641.49
  5. Step 5: Solve for x
    x = 33,174,641.49/8,456.94
  6. Step 6: Final answer
    x = 3,922.77

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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.