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Finding the Fourth Proportional to 9,309.87, 12,845.78 and 5,221.80

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Solution

The fourth proportional to 9,309.87, 12,845.78 and 5,221.80 is: 7,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.87 : 12,845.78 = 5,221.80 : x
  2. Step 2: Convert to fraction form
    9,309.87/12,845.78 = 5,221.80/x
  3. Step 3: Cross multiply
    9,309.87x = 12,845.78 × 5,221.80
  4. Step 4: Simplify right side
    9,309.87x = 67,078,171.50
  5. Step 5: Solve for x
    x = 67,078,171.50/9,309.87
  6. Step 6: Final answer
    x = 7,205.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.