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Finding the Fourth Proportional to 2,282.64, 3,424.50 and 896.10

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Solution

The fourth proportional to 2,282.64, 3,424.50 and 896.10 is: 1,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.64 : 3,424.50 = 896.10 : x
  2. Step 2: Convert to fraction form
    2,282.64/3,424.50 = 896.10/x
  3. Step 3: Cross multiply
    2,282.64x = 3,424.50 × 896.10
  4. Step 4: Simplify right side
    2,282.64x = 3,068,694.45
  5. Step 5: Solve for x
    x = 3,068,694.45/2,282.64
  6. Step 6: Final answer
    x = 1,344.36

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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.