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Finding the Fourth Proportional to 8,564.80, 12,847.02 and 3,947.80

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Solution

The fourth proportional to 8,564.80, 12,847.02 and 3,947.80 is: 5,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.80 : 12,847.02 = 3,947.80 : x
  2. Step 2: Convert to fraction form
    8,564.80/12,847.02 = 3,947.80/x
  3. Step 3: Cross multiply
    8,564.80x = 12,847.02 × 3,947.80
  4. Step 4: Simplify right side
    8,564.80x = 50,717,465.56
  5. Step 5: Solve for x
    x = 50,717,465.56/8,564.80
  6. Step 6: Final answer
    x = 5,921.62

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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.