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Finding the Fourth Proportional to 8,149, 11,245.62 and 4,423

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Solution

The fourth proportional to 8,149, 11,245.62 and 4,423 is: 6,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149 : 11,245.62 = 4,423 : x
  2. Step 2: Convert to fraction form
    8,149/11,245.62 = 4,423/x
  3. Step 3: Cross multiply
    8,149x = 11,245.62 × 4,423
  4. Step 4: Simplify right side
    8,149x = 49,739,377.26
  5. Step 5: Solve for x
    x = 49,739,377.26/8,149
  6. Step 6: Final answer
    x = 6,103.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.