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Finding the Fourth Proportional to 8,339.84, 12,508.83 and 2,099.85

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Solution

The fourth proportional to 8,339.84, 12,508.83 and 2,099.85 is: 3,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.84 : 12,508.83 = 2,099.85 : x
  2. Step 2: Convert to fraction form
    8,339.84/12,508.83 = 2,099.85/x
  3. Step 3: Cross multiply
    8,339.84x = 12,508.83 × 2,099.85
  4. Step 4: Simplify right side
    8,339.84x = 26,266,666.68
  5. Step 5: Solve for x
    x = 26,266,666.68/8,339.84
  6. Step 6: Final answer
    x = 3,149.54

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1.5x scale

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.