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Finding the Fourth Proportional to 2,557.71, 3,836.16 and 1,096.47

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Solution

The fourth proportional to 2,557.71, 3,836.16 and 1,096.47 is: 1,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.71 : 3,836.16 = 1,096.47 : x
  2. Step 2: Convert to fraction form
    2,557.71/3,836.16 = 1,096.47/x
  3. Step 3: Cross multiply
    2,557.71x = 3,836.16 × 1,096.47
  4. Step 4: Simplify right side
    2,557.71x = 4,206,234.36
  5. Step 5: Solve for x
    x = 4,206,234.36/2,557.71
  6. Step 6: Final answer
    x = 1,644.53

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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.