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Finding the Fourth Proportional to 2,243.90, 3,097.41 and 1,927.90

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Solution

The fourth proportional to 2,243.90, 3,097.41 and 1,927.90 is: 2,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.90 : 3,097.41 = 1,927.90 : x
  2. Step 2: Convert to fraction form
    2,243.90/3,097.41 = 1,927.90/x
  3. Step 3: Cross multiply
    2,243.90x = 3,097.41 × 1,927.90
  4. Step 4: Simplify right side
    2,243.90x = 5,971,496.74
  5. Step 5: Solve for x
    x = 5,971,496.74/2,243.90
  6. Step 6: Final answer
    x = 2,661.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.