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Finding the Fourth Proportional to 7,916.82, 11,871.21 and 2,649.96

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Solution

The fourth proportional to 7,916.82, 11,871.21 and 2,649.96 is: 3,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.82 : 11,871.21 = 2,649.96 : x
  2. Step 2: Convert to fraction form
    7,916.82/11,871.21 = 2,649.96/x
  3. Step 3: Cross multiply
    7,916.82x = 11,871.21 × 2,649.96
  4. Step 4: Simplify right side
    7,916.82x = 31,458,231.65
  5. Step 5: Solve for x
    x = 31,458,231.65/7,916.82
  6. Step 6: Final answer
    x = 3,973.59

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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.