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Finding the Fourth Proportional to 1,361.26, 1,866.30 and 1,336.65

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Solution

The fourth proportional to 1,361.26, 1,866.30 and 1,336.65 is: 1,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.26 : 1,866.30 = 1,336.65 : x
  2. Step 2: Convert to fraction form
    1,361.26/1,866.30 = 1,336.65/x
  3. Step 3: Cross multiply
    1,361.26x = 1,866.30 × 1,336.65
  4. Step 4: Simplify right side
    1,361.26x = 2,494,588.38
  5. Step 5: Solve for x
    x = 2,494,588.38/1,361.26
  6. Step 6: Final answer
    x = 1,832.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.