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Finding the Fourth Proportional to 11,959.96, 17,939.96 and 5,718.51

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Solution

The fourth proportional to 11,959.96, 17,939.96 and 5,718.51 is: 8,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.96 : 17,939.96 = 5,718.51 : x
  2. Step 2: Convert to fraction form
    11,959.96/17,939.96 = 5,718.51/x
  3. Step 3: Cross multiply
    11,959.96x = 17,939.96 × 5,718.51
  4. Step 4: Simplify right side
    11,959.96x = 102,589,840.66
  5. Step 5: Solve for x
    x = 102,589,840.66/11,959.96
  6. Step 6: Final answer
    x = 8,577.77

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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.