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Finding the Fourth Proportional to 3,847.49, 5,309.49 and 2,169.07

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Solution

The fourth proportional to 3,847.49, 5,309.49 and 2,169.07 is: 2,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.49 : 5,309.49 = 2,169.07 : x
  2. Step 2: Convert to fraction form
    3,847.49/5,309.49 = 2,169.07/x
  3. Step 3: Cross multiply
    3,847.49x = 5,309.49 × 2,169.07
  4. Step 4: Simplify right side
    3,847.49x = 11,516,655.47
  5. Step 5: Solve for x
    x = 11,516,655.47/3,847.49
  6. Step 6: Final answer
    x = 2,993.29

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1.5x scale

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.