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Finding the Fourth Proportional to 9,997, 13,795.86 and 5,581

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Solution

The fourth proportional to 9,997, 13,795.86 and 5,581 is: 7,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997 : 13,795.86 = 5,581 : x
  2. Step 2: Convert to fraction form
    9,997/13,795.86 = 5,581/x
  3. Step 3: Cross multiply
    9,997x = 13,795.86 × 5,581
  4. Step 4: Simplify right side
    9,997x = 76,994,694.66
  5. Step 5: Solve for x
    x = 76,994,694.66/9,997
  6. Step 6: Final answer
    x = 7,701.78

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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.