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Finding the Fourth Proportional to 1,306.97, 1,958.29 and 941.21

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Solution

The fourth proportional to 1,306.97, 1,958.29 and 941.21 is: 1,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.97 : 1,958.29 = 941.21 : x
  2. Step 2: Convert to fraction form
    1,306.97/1,958.29 = 941.21/x
  3. Step 3: Cross multiply
    1,306.97x = 1,958.29 × 941.21
  4. Step 4: Simplify right side
    1,306.97x = 1,843,162.13
  5. Step 5: Solve for x
    x = 1,843,162.13/1,306.97
  6. Step 6: Final answer
    x = 1,410.26

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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.