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Finding the Fourth Proportional to 20,978.79, 31,480.51 and 7,832.19

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Solution

The fourth proportional to 20,978.79, 31,480.51 and 7,832.19 is: 11,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.79 : 31,480.51 = 7,832.19 : x
  2. Step 2: Convert to fraction form
    20,978.79/31,480.51 = 7,832.19/x
  3. Step 3: Cross multiply
    20,978.79x = 31,480.51 × 7,832.19
  4. Step 4: Simplify right side
    20,978.79x = 246,561,335.62
  5. Step 5: Solve for x
    x = 246,561,335.62/20,978.79
  6. Step 6: Final answer
    x = 11,752.89

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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.