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Finding the Fourth Proportional to 11,917.83, 17,877.11 and 5,678.51

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Solution

The fourth proportional to 11,917.83, 17,877.11 and 5,678.51 is: 8,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.83 : 17,877.11 = 5,678.51 : x
  2. Step 2: Convert to fraction form
    11,917.83/17,877.11 = 5,678.51/x
  3. Step 3: Cross multiply
    11,917.83x = 17,877.11 × 5,678.51
  4. Step 4: Simplify right side
    11,917.83x = 101,515,230.13
  5. Step 5: Solve for x
    x = 101,515,230.13/11,917.83
  6. Step 6: Final answer
    x = 8,517.93

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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.