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Finding the Fourth Proportional to 11,209, 15,469.50 and 6,241

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Solution

The fourth proportional to 11,209, 15,469.50 and 6,241 is: 8,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209 : 15,469.50 = 6,241 : x
  2. Step 2: Convert to fraction form
    11,209/15,469.50 = 6,241/x
  3. Step 3: Cross multiply
    11,209x = 15,469.50 × 6,241
  4. Step 4: Simplify right side
    11,209x = 96,545,149.50
  5. Step 5: Solve for x
    x = 96,545,149.50/11,209
  6. Step 6: Final answer
    x = 8,613.18

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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.