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Finding the Fourth Proportional to 8,200.11, 12,311.68 and 4,200.37

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Solution

The fourth proportional to 8,200.11, 12,311.68 and 4,200.37 is: 6,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.11 : 12,311.68 = 4,200.37 : x
  2. Step 2: Convert to fraction form
    8,200.11/12,311.68 = 4,200.37/x
  3. Step 3: Cross multiply
    8,200.11x = 12,311.68 × 4,200.37
  4. Step 4: Simplify right side
    8,200.11x = 51,713,549.76
  5. Step 5: Solve for x
    x = 51,713,549.76/8,200.11
  6. Step 6: Final answer
    x = 6,306.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.