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Finding the Fourth Proportional to 21,712.80, 32,559.44 and 6,918.96

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Solution

The fourth proportional to 21,712.80, 32,559.44 and 6,918.96 is: 10,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712.80 : 32,559.44 = 6,918.96 : x
  2. Step 2: Convert to fraction form
    21,712.80/32,559.44 = 6,918.96/x
  3. Step 3: Cross multiply
    21,712.80x = 32,559.44 × 6,918.96
  4. Step 4: Simplify right side
    21,712.80x = 225,277,462.98
  5. Step 5: Solve for x
    x = 225,277,462.98/21,712.80
  6. Step 6: Final answer
    x = 10,375.33

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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.