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Finding the Fourth Proportional to 7,850.96, 11,776.44 and 2,919.96

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Solution

The fourth proportional to 7,850.96, 11,776.44 and 2,919.96 is: 4,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.96 : 11,776.44 = 2,919.96 : x
  2. Step 2: Convert to fraction form
    7,850.96/11,776.44 = 2,919.96/x
  3. Step 3: Cross multiply
    7,850.96x = 11,776.44 × 2,919.96
  4. Step 4: Simplify right side
    7,850.96x = 34,386,744.69
  5. Step 5: Solve for x
    x = 34,386,744.69/7,850.96
  6. Step 6: Final answer
    x = 4,379.94

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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.