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Finding the Fourth Proportional to 8,206.60, 12,311.70 and 4,048.60

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Solution

The fourth proportional to 8,206.60, 12,311.70 and 4,048.60 is: 6,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.60 : 12,311.70 = 4,048.60 : x
  2. Step 2: Convert to fraction form
    8,206.60/12,311.70 = 4,048.60/x
  3. Step 3: Cross multiply
    8,206.60x = 12,311.70 × 4,048.60
  4. Step 4: Simplify right side
    8,206.60x = 49,845,148.62
  5. Step 5: Solve for x
    x = 49,845,148.62/8,206.60
  6. Step 6: Final answer
    x = 6,073.79

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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.