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Finding the Fourth Proportional to 7,849, 11,773.74 and 2,377

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Solution

The fourth proportional to 7,849, 11,773.74 and 2,377 is: 3,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849 : 11,773.74 = 2,377 : x
  2. Step 2: Convert to fraction form
    7,849/11,773.74 = 2,377/x
  3. Step 3: Cross multiply
    7,849x = 11,773.74 × 2,377
  4. Step 4: Simplify right side
    7,849x = 27,986,179.98
  5. Step 5: Solve for x
    x = 27,986,179.98/7,849
  6. Step 6: Final answer
    x = 3,565.57

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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.