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Finding the Fourth Proportional to 1,994.89, 2,991.08 and 1,447.53

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Solution

The fourth proportional to 1,994.89, 2,991.08 and 1,447.53 is: 2,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.89 : 2,991.08 = 1,447.53 : x
  2. Step 2: Convert to fraction form
    1,994.89/2,991.08 = 1,447.53/x
  3. Step 3: Cross multiply
    1,994.89x = 2,991.08 × 1,447.53
  4. Step 4: Simplify right side
    1,994.89x = 4,329,655.84
  5. Step 5: Solve for x
    x = 4,329,655.84/1,994.89
  6. Step 6: Final answer
    x = 2,170.38

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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.