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Finding the Fourth Proportional to 9,947, 13,726.86 and 5,531

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Solution

The fourth proportional to 9,947, 13,726.86 and 5,531 is: 7,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947 : 13,726.86 = 5,531 : x
  2. Step 2: Convert to fraction form
    9,947/13,726.86 = 5,531/x
  3. Step 3: Cross multiply
    9,947x = 13,726.86 × 5,531
  4. Step 4: Simplify right side
    9,947x = 75,923,262.66
  5. Step 5: Solve for x
    x = 75,923,262.66/9,947
  6. Step 6: Final answer
    x = 7,632.78

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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.