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Finding the Fourth Proportional to 2,576.61, 3,863.64 and 821.39

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Solution

The fourth proportional to 2,576.61, 3,863.64 and 821.39 is: 1,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.61 : 3,863.64 = 821.39 : x
  2. Step 2: Convert to fraction form
    2,576.61/3,863.64 = 821.39/x
  3. Step 3: Cross multiply
    2,576.61x = 3,863.64 × 821.39
  4. Step 4: Simplify right side
    2,576.61x = 3,173,545.60
  5. Step 5: Solve for x
    x = 3,173,545.60/2,576.61
  6. Step 6: Final answer
    x = 1,231.67

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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.