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Finding the Fourth Proportional to 12,580.20, 18,821.70 and 8,206.20

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Solution

The fourth proportional to 12,580.20, 18,821.70 and 8,206.20 is: 12,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.20 : 18,821.70 = 8,206.20 : x
  2. Step 2: Convert to fraction form
    12,580.20/18,821.70 = 8,206.20/x
  3. Step 3: Cross multiply
    12,580.20x = 18,821.70 × 8,206.20
  4. Step 4: Simplify right side
    12,580.20x = 154,454,634.54
  5. Step 5: Solve for x
    x = 154,454,634.54/12,580.20
  6. Step 6: Final answer
    x = 12,277.60

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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.