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Finding the Fourth Proportional to 8,269, 12,404.22 and 2,113

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Solution

The fourth proportional to 8,269, 12,404.22 and 2,113 is: 3,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269 : 12,404.22 = 2,113 : x
  2. Step 2: Convert to fraction form
    8,269/12,404.22 = 2,113/x
  3. Step 3: Cross multiply
    8,269x = 12,404.22 × 2,113
  4. Step 4: Simplify right side
    8,269x = 26,210,116.86
  5. Step 5: Solve for x
    x = 26,210,116.86/8,269
  6. Step 6: Final answer
    x = 3,169.68

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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.