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Finding the Fourth Proportional to 6,647.41, 9,968.11 and 1,965.81

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Solution

The fourth proportional to 6,647.41, 9,968.11 and 1,965.81 is: 2,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.41 : 9,968.11 = 1,965.81 : x
  2. Step 2: Convert to fraction form
    6,647.41/9,968.11 = 1,965.81/x
  3. Step 3: Cross multiply
    6,647.41x = 9,968.11 × 1,965.81
  4. Step 4: Simplify right side
    6,647.41x = 19,595,405.40
  5. Step 5: Solve for x
    x = 19,595,405.40/6,647.41
  6. Step 6: Final answer
    x = 2,947.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.