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Finding the Fourth Proportional to 6,993.30, 9,650.81 and 3,806.66

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Solution

The fourth proportional to 6,993.30, 9,650.81 and 3,806.66 is: 5,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.30 : 9,650.81 = 3,806.66 : x
  2. Step 2: Convert to fraction form
    6,993.30/9,650.81 = 3,806.66/x
  3. Step 3: Cross multiply
    6,993.30x = 9,650.81 × 3,806.66
  4. Step 4: Simplify right side
    6,993.30x = 36,737,386.04
  5. Step 5: Solve for x
    x = 36,737,386.04/6,993.30
  6. Step 6: Final answer
    x = 5,253.22

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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.