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Finding the Fourth Proportional to 1,993.86, 2,991.26 and 1,264.05

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Solution

The fourth proportional to 1,993.86, 2,991.26 and 1,264.05 is: 1,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.86 : 2,991.26 = 1,264.05 : x
  2. Step 2: Convert to fraction form
    1,993.86/2,991.26 = 1,264.05/x
  3. Step 3: Cross multiply
    1,993.86x = 2,991.26 × 1,264.05
  4. Step 4: Simplify right side
    1,993.86x = 3,781,102.20
  5. Step 5: Solve for x
    x = 3,781,102.20/1,993.86
  6. Step 6: Final answer
    x = 1,896.37

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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.