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Finding the Fourth Proportional to 7,874.42, 11,813.33 and 3,927.80

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Solution

The fourth proportional to 7,874.42, 11,813.33 and 3,927.80 is: 5,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.42 : 11,813.33 = 3,927.80 : x
  2. Step 2: Convert to fraction form
    7,874.42/11,813.33 = 3,927.80/x
  3. Step 3: Cross multiply
    7,874.42x = 11,813.33 × 3,927.80
  4. Step 4: Simplify right side
    7,874.42x = 46,400,377.94
  5. Step 5: Solve for x
    x = 46,400,377.94/7,874.42
  6. Step 6: Final answer
    x = 5,892.55

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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.