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Finding the Fourth Proportional to 2,281.78, 3,422.62 and 896.07

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Solution

The fourth proportional to 2,281.78, 3,422.62 and 896.07 is: 1,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.78 : 3,422.62 = 896.07 : x
  2. Step 2: Convert to fraction form
    2,281.78/3,422.62 = 896.07/x
  3. Step 3: Cross multiply
    2,281.78x = 3,422.62 × 896.07
  4. Step 4: Simplify right side
    2,281.78x = 3,066,907.10
  5. Step 5: Solve for x
    x = 3,066,907.10/2,281.78
  6. Step 6: Final answer
    x = 1,344.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.