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Finding the Fourth Proportional to 1,954.14, 2,931.22 and 799.89

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Solution

The fourth proportional to 1,954.14, 2,931.22 and 799.89 is: 1,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.14 : 2,931.22 = 799.89 : x
  2. Step 2: Convert to fraction form
    1,954.14/2,931.22 = 799.89/x
  3. Step 3: Cross multiply
    1,954.14x = 2,931.22 × 799.89
  4. Step 4: Simplify right side
    1,954.14x = 2,344,634.91
  5. Step 5: Solve for x
    x = 2,344,634.91/1,954.14
  6. Step 6: Final answer
    x = 1,199.83

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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.