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Finding the Fourth Proportional to 8,551.62, 12,828.32 and 2,311.67

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Solution

The fourth proportional to 8,551.62, 12,828.32 and 2,311.67 is: 3,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.62 : 12,828.32 = 2,311.67 : x
  2. Step 2: Convert to fraction form
    8,551.62/12,828.32 = 2,311.67/x
  3. Step 3: Cross multiply
    8,551.62x = 12,828.32 × 2,311.67
  4. Step 4: Simplify right side
    8,551.62x = 29,654,766.79
  5. Step 5: Solve for x
    x = 29,654,766.79/8,551.62
  6. Step 6: Final answer
    x = 3,467.74

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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.