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Finding the Fourth Proportional to 14,611.32, 21,930 and 6,824.52

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Solution

The fourth proportional to 14,611.32, 21,930 and 6,824.52 is: 10,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.32 : 21,930 = 6,824.52 : x
  2. Step 2: Convert to fraction form
    14,611.32/21,930 = 6,824.52/x
  3. Step 3: Cross multiply
    14,611.32x = 21,930 × 6,824.52
  4. Step 4: Simplify right side
    14,611.32x = 149,661,723.60
  5. Step 5: Solve for x
    x = 149,661,723.60/14,611.32
  6. Step 6: Final answer
    x = 10,242.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.