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Finding the Fourth Proportional to 7,866.11, 11,796.32 and 2,670.77

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Solution

The fourth proportional to 7,866.11, 11,796.32 and 2,670.77 is: 4,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.11 : 11,796.32 = 2,670.77 : x
  2. Step 2: Convert to fraction form
    7,866.11/11,796.32 = 2,670.77/x
  3. Step 3: Cross multiply
    7,866.11x = 11,796.32 × 2,670.77
  4. Step 4: Simplify right side
    7,866.11x = 31,505,257.57
  5. Step 5: Solve for x
    x = 31,505,257.57/7,866.11
  6. Step 6: Final answer
    x = 4,005.19

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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.