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Finding the Fourth Proportional to 2,538.62, 3,808.43 and 896.32

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Solution

The fourth proportional to 2,538.62, 3,808.43 and 896.32 is: 1,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.62 : 3,808.43 = 896.32 : x
  2. Step 2: Convert to fraction form
    2,538.62/3,808.43 = 896.32/x
  3. Step 3: Cross multiply
    2,538.62x = 3,808.43 × 896.32
  4. Step 4: Simplify right side
    2,538.62x = 3,413,571.98
  5. Step 5: Solve for x
    x = 3,413,571.98/2,538.62
  6. Step 6: Final answer
    x = 1,344.66

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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.