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Finding the Fourth Proportional to 21,704.77, 32,561.21 and 6,917.41

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Solution

The fourth proportional to 21,704.77, 32,561.21 and 6,917.41 is: 10,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.77 : 32,561.21 = 6,917.41 : x
  2. Step 2: Convert to fraction form
    21,704.77/32,561.21 = 6,917.41/x
  3. Step 3: Cross multiply
    21,704.77x = 32,561.21 × 6,917.41
  4. Step 4: Simplify right side
    21,704.77x = 225,239,239.67
  5. Step 5: Solve for x
    x = 225,239,239.67/21,704.77
  6. Step 6: Final answer
    x = 10,377.41

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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.