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Finding the Fourth Proportional to 11,569, 15,967.38 and 6,601

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Solution

The fourth proportional to 11,569, 15,967.38 and 6,601 is: 9,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569 : 15,967.38 = 6,601 : x
  2. Step 2: Convert to fraction form
    11,569/15,967.38 = 6,601/x
  3. Step 3: Cross multiply
    11,569x = 15,967.38 × 6,601
  4. Step 4: Simplify right side
    11,569x = 105,400,675.38
  5. Step 5: Solve for x
    x = 105,400,675.38/11,569
  6. Step 6: Final answer
    x = 9,110.61

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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.