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Finding the Fourth Proportional to 21,697.80, 32,545.32 and 6,917.32

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Solution

The fourth proportional to 21,697.80, 32,545.32 and 6,917.32 is: 10,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.80 : 32,545.32 = 6,917.32 : x
  2. Step 2: Convert to fraction form
    21,697.80/32,545.32 = 6,917.32/x
  3. Step 3: Cross multiply
    21,697.80x = 32,545.32 × 6,917.32
  4. Step 4: Simplify right side
    21,697.80x = 225,126,392.94
  5. Step 5: Solve for x
    x = 225,126,392.94/21,697.80
  6. Step 6: Final answer
    x = 10,375.54

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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.