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Finding the Fourth Proportional to 3,309.72, 4,966.20 and 1,993.83

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Solution

The fourth proportional to 3,309.72, 4,966.20 and 1,993.83 is: 2,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.72 : 4,966.20 = 1,993.83 : x
  2. Step 2: Convert to fraction form
    3,309.72/4,966.20 = 1,993.83/x
  3. Step 3: Cross multiply
    3,309.72x = 4,966.20 × 1,993.83
  4. Step 4: Simplify right side
    3,309.72x = 9,901,758.55
  5. Step 5: Solve for x
    x = 9,901,758.55/3,309.72
  6. Step 6: Final answer
    x = 2,991.72

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1.5x scale

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.