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Finding the Fourth Proportional to 2,361.14, 3,542.19 and 823.22

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Solution

The fourth proportional to 2,361.14, 3,542.19 and 823.22 is: 1,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.14 : 3,542.19 = 823.22 : x
  2. Step 2: Convert to fraction form
    2,361.14/3,542.19 = 823.22/x
  3. Step 3: Cross multiply
    2,361.14x = 3,542.19 × 823.22
  4. Step 4: Simplify right side
    2,361.14x = 2,916,001.65
  5. Step 5: Solve for x
    x = 2,916,001.65/2,361.14
  6. Step 6: Final answer
    x = 1,235.00

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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.