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Finding the Fourth Proportional to 1,361.05, 1,864.13 and 1,281.23

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Solution

The fourth proportional to 1,361.05, 1,864.13 and 1,281.23 is: 1,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.05 : 1,864.13 = 1,281.23 : x
  2. Step 2: Convert to fraction form
    1,361.05/1,864.13 = 1,281.23/x
  3. Step 3: Cross multiply
    1,361.05x = 1,864.13 × 1,281.23
  4. Step 4: Simplify right side
    1,361.05x = 2,388,379.28
  5. Step 5: Solve for x
    x = 2,388,379.28/1,361.05
  6. Step 6: Final answer
    x = 1,754.81

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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.