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Finding the Fourth Proportional to 2,732.73, 4,099.09 and 784.88

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Solution

The fourth proportional to 2,732.73, 4,099.09 and 784.88 is: 1,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.73 : 4,099.09 = 784.88 : x
  2. Step 2: Convert to fraction form
    2,732.73/4,099.09 = 784.88/x
  3. Step 3: Cross multiply
    2,732.73x = 4,099.09 × 784.88
  4. Step 4: Simplify right side
    2,732.73x = 3,217,293.76
  5. Step 5: Solve for x
    x = 3,217,293.76/2,732.73
  6. Step 6: Final answer
    x = 1,177.32

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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.