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Finding the Fourth Proportional to 1,994.34, 2,990.81 and 762.09

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Solution

The fourth proportional to 1,994.34, 2,990.81 and 762.09 is: 1,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.34 : 2,990.81 = 762.09 : x
  2. Step 2: Convert to fraction form
    1,994.34/2,990.81 = 762.09/x
  3. Step 3: Cross multiply
    1,994.34x = 2,990.81 × 762.09
  4. Step 4: Simplify right side
    1,994.34x = 2,279,266.39
  5. Step 5: Solve for x
    x = 2,279,266.39/1,994.34
  6. Step 6: Final answer
    x = 1,142.87

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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.