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Finding the Fourth Proportional to 21,611.30, 32,431.54 and 8,462.03

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Solution

The fourth proportional to 21,611.30, 32,431.54 and 8,462.03 is: 12,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.30 : 32,431.54 = 8,462.03 : x
  2. Step 2: Convert to fraction form
    21,611.30/32,431.54 = 8,462.03/x
  3. Step 3: Cross multiply
    21,611.30x = 32,431.54 × 8,462.03
  4. Step 4: Simplify right side
    21,611.30x = 274,436,724.35
  5. Step 5: Solve for x
    x = 274,436,724.35/21,611.30
  6. Step 6: Final answer
    x = 12,698.76

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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.