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Finding the Fourth Proportional to 2,576.69, 3,865.05 and 727.76

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Solution

The fourth proportional to 2,576.69, 3,865.05 and 727.76 is: 1,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.69 : 3,865.05 = 727.76 : x
  2. Step 2: Convert to fraction form
    2,576.69/3,865.05 = 727.76/x
  3. Step 3: Cross multiply
    2,576.69x = 3,865.05 × 727.76
  4. Step 4: Simplify right side
    2,576.69x = 2,812,828.79
  5. Step 5: Solve for x
    x = 2,812,828.79/2,576.69
  6. Step 6: Final answer
    x = 1,091.64

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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.