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Finding the Fourth Proportional to 8,209.70, 12,311.67 and 2,364.74

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Solution

The fourth proportional to 8,209.70, 12,311.67 and 2,364.74 is: 3,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.70 : 12,311.67 = 2,364.74 : x
  2. Step 2: Convert to fraction form
    8,209.70/12,311.67 = 2,364.74/x
  3. Step 3: Cross multiply
    8,209.70x = 12,311.67 × 2,364.74
  4. Step 4: Simplify right side
    8,209.70x = 29,113,898.52
  5. Step 5: Solve for x
    x = 29,113,898.52/8,209.70
  6. Step 6: Final answer
    x = 3,546.28

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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.