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Finding the Fourth Proportional to 2,731.52, 4,097.26 and 783.73

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Solution

The fourth proportional to 2,731.52, 4,097.26 and 783.73 is: 1,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.52 : 4,097.26 = 783.73 : x
  2. Step 2: Convert to fraction form
    2,731.52/4,097.26 = 783.73/x
  3. Step 3: Cross multiply
    2,731.52x = 4,097.26 × 783.73
  4. Step 4: Simplify right side
    2,731.52x = 3,211,145.58
  5. Step 5: Solve for x
    x = 3,211,145.58/2,731.52
  6. Step 6: Final answer
    x = 1,175.59

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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.