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Finding the Fourth Proportional to 1,296.81, 1,936.41 and 1,019.79

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Solution

The fourth proportional to 1,296.81, 1,936.41 and 1,019.79 is: 1,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.81 : 1,936.41 = 1,019.79 : x
  2. Step 2: Convert to fraction form
    1,296.81/1,936.41 = 1,019.79/x
  3. Step 3: Cross multiply
    1,296.81x = 1,936.41 × 1,019.79
  4. Step 4: Simplify right side
    1,296.81x = 1,974,731.55
  5. Step 5: Solve for x
    x = 1,974,731.55/1,296.81
  6. Step 6: Final answer
    x = 1,522.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.