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Finding the Fourth Proportional to 20,852.72, 31,259.64 and 6,992

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Solution

The fourth proportional to 20,852.72, 31,259.64 and 6,992 is: 10,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.72 : 31,259.64 = 6,992 : x
  2. Step 2: Convert to fraction form
    20,852.72/31,259.64 = 6,992/x
  3. Step 3: Cross multiply
    20,852.72x = 31,259.64 × 6,992
  4. Step 4: Simplify right side
    20,852.72x = 218,567,402.88
  5. Step 5: Solve for x
    x = 218,567,402.88/20,852.72
  6. Step 6: Final answer
    x = 10,481.48

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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.