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Finding the Fourth Proportional to 7,859, 11,791.54 and 2,664.86

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Solution

The fourth proportional to 7,859, 11,791.54 and 2,664.86 is: 3,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859 : 11,791.54 = 2,664.86 : x
  2. Step 2: Convert to fraction form
    7,859/11,791.54 = 2,664.86/x
  3. Step 3: Cross multiply
    7,859x = 11,791.54 × 2,664.86
  4. Step 4: Simplify right side
    7,859x = 31,422,803.28
  5. Step 5: Solve for x
    x = 31,422,803.28/7,859
  6. Step 6: Final answer
    x = 3,998.32

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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.