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Finding the Fourth Proportional to 2,225.96, 3,072.25 and 1,282.38

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Solution

The fourth proportional to 2,225.96, 3,072.25 and 1,282.38 is: 1,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.96 : 3,072.25 = 1,282.38 : x
  2. Step 2: Convert to fraction form
    2,225.96/3,072.25 = 1,282.38/x
  3. Step 3: Cross multiply
    2,225.96x = 3,072.25 × 1,282.38
  4. Step 4: Simplify right side
    2,225.96x = 3,939,791.96
  5. Step 5: Solve for x
    x = 3,939,791.96/2,225.96
  6. Step 6: Final answer
    x = 1,769.93

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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.