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Finding the Fourth Proportional to 8,246, 12,337.94 and 5,785.68

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Solution

The fourth proportional to 8,246, 12,337.94 and 5,785.68 is: 8,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246 : 12,337.94 = 5,785.68 : x
  2. Step 2: Convert to fraction form
    8,246/12,337.94 = 5,785.68/x
  3. Step 3: Cross multiply
    8,246x = 12,337.94 × 5,785.68
  4. Step 4: Simplify right side
    8,246x = 71,383,372.70
  5. Step 5: Solve for x
    x = 71,383,372.70/8,246
  6. Step 6: Final answer
    x = 8,656.73

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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.