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Finding the Fourth Proportional to 7,876.67, 11,808.30 and 3,491.74

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Solution

The fourth proportional to 7,876.67, 11,808.30 and 3,491.74 is: 5,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.67 : 11,808.30 = 3,491.74 : x
  2. Step 2: Convert to fraction form
    7,876.67/11,808.30 = 3,491.74/x
  3. Step 3: Cross multiply
    7,876.67x = 11,808.30 × 3,491.74
  4. Step 4: Simplify right side
    7,876.67x = 41,231,513.44
  5. Step 5: Solve for x
    x = 41,231,513.44/7,876.67
  6. Step 6: Final answer
    x = 5,234.64

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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.