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Finding the Fourth Proportional to 1,991.89, 2,749.04 and 1,493.70

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Solution

The fourth proportional to 1,991.89, 2,749.04 and 1,493.70 is: 2,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.89 : 2,749.04 = 1,493.70 : x
  2. Step 2: Convert to fraction form
    1,991.89/2,749.04 = 1,493.70/x
  3. Step 3: Cross multiply
    1,991.89x = 2,749.04 × 1,493.70
  4. Step 4: Simplify right side
    1,991.89x = 4,106,241.05
  5. Step 5: Solve for x
    x = 4,106,241.05/1,991.89
  6. Step 6: Final answer
    x = 2,061.48

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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.