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Finding the Fourth Proportional to 7,879.42, 11,827.77 and 3,265.66

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Solution

The fourth proportional to 7,879.42, 11,827.77 and 3,265.66 is: 4,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.42 : 11,827.77 = 3,265.66 : x
  2. Step 2: Convert to fraction form
    7,879.42/11,827.77 = 3,265.66/x
  3. Step 3: Cross multiply
    7,879.42x = 11,827.77 × 3,265.66
  4. Step 4: Simplify right side
    7,879.42x = 38,625,475.38
  5. Step 5: Solve for x
    x = 38,625,475.38/7,879.42
  6. Step 6: Final answer
    x = 4,902.07

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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.