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Finding the Fourth Proportional to 1,993.55, 2,991.29 and 1,412.28

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Solution

The fourth proportional to 1,993.55, 2,991.29 and 1,412.28 is: 2,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.55 : 2,991.29 = 1,412.28 : x
  2. Step 2: Convert to fraction form
    1,993.55/2,991.29 = 1,412.28/x
  3. Step 3: Cross multiply
    1,993.55x = 2,991.29 × 1,412.28
  4. Step 4: Simplify right side
    1,993.55x = 4,224,531.98
  5. Step 5: Solve for x
    x = 4,224,531.98/1,993.55
  6. Step 6: Final answer
    x = 2,119.11

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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.