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Finding the Fourth Proportional to 11,712.58, 17,568.78 and 3,921.31

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Solution

The fourth proportional to 11,712.58, 17,568.78 and 3,921.31 is: 5,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.58 : 17,568.78 = 3,921.31 : x
  2. Step 2: Convert to fraction form
    11,712.58/17,568.78 = 3,921.31/x
  3. Step 3: Cross multiply
    11,712.58x = 17,568.78 × 3,921.31
  4. Step 4: Simplify right side
    11,712.58x = 68,892,632.70
  5. Step 5: Solve for x
    x = 68,892,632.70/11,712.58
  6. Step 6: Final answer
    x = 5,881.93

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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.