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Finding the Fourth Proportional to 6,990.81, 9,647.32 and 3,847

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Solution

The fourth proportional to 6,990.81, 9,647.32 and 3,847 is: 5,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.81 : 9,647.32 = 3,847 : x
  2. Step 2: Convert to fraction form
    6,990.81/9,647.32 = 3,847/x
  3. Step 3: Cross multiply
    6,990.81x = 9,647.32 × 3,847
  4. Step 4: Simplify right side
    6,990.81x = 37,113,240.04
  5. Step 5: Solve for x
    x = 37,113,240.04/6,990.81
  6. Step 6: Final answer
    x = 5,308.86

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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.