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Finding the Fourth Proportional to 6,991.17, 9,647.87 and 3,847.47

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Solution

The fourth proportional to 6,991.17, 9,647.87 and 3,847.47 is: 5,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.17 : 9,647.87 = 3,847.47 : x
  2. Step 2: Convert to fraction form
    6,991.17/9,647.87 = 3,847.47/x
  3. Step 3: Cross multiply
    6,991.17x = 9,647.87 × 3,847.47
  4. Step 4: Simplify right side
    6,991.17x = 37,119,890.39
  5. Step 5: Solve for x
    x = 37,119,890.39/6,991.17
  6. Step 6: Final answer
    x = 5,309.54

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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.