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Finding the Fourth Proportional to 21,611.92, 32,431.54 and 8,463.94

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Solution

The fourth proportional to 21,611.92, 32,431.54 and 8,463.94 is: 12,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.92 : 32,431.54 = 8,463.94 : x
  2. Step 2: Convert to fraction form
    21,611.92/32,431.54 = 8,463.94/x
  3. Step 3: Cross multiply
    21,611.92x = 32,431.54 × 8,463.94
  4. Step 4: Simplify right side
    21,611.92x = 274,498,608.67
  5. Step 5: Solve for x
    x = 274,498,608.67/21,611.92
  6. Step 6: Final answer
    x = 12,701.26

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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.