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Finding the Fourth Proportional to 8,564.57, 12,839.07 and 3,296.22

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Solution

The fourth proportional to 8,564.57, 12,839.07 and 3,296.22 is: 4,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.57 : 12,839.07 = 3,296.22 : x
  2. Step 2: Convert to fraction form
    8,564.57/12,839.07 = 3,296.22/x
  3. Step 3: Cross multiply
    8,564.57x = 12,839.07 × 3,296.22
  4. Step 4: Simplify right side
    8,564.57x = 42,320,399.32
  5. Step 5: Solve for x
    x = 42,320,399.32/8,564.57
  6. Step 6: Final answer
    x = 4,941.33

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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.