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Finding the Fourth Proportional to 15,072, 22,611.84 and 5,715.84

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Solution

The fourth proportional to 15,072, 22,611.84 and 5,715.84 is: 8,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072 : 22,611.84 = 5,715.84 : x
  2. Step 2: Convert to fraction form
    15,072/22,611.84 = 5,715.84/x
  3. Step 3: Cross multiply
    15,072x = 22,611.84 × 5,715.84
  4. Step 4: Simplify right side
    15,072x = 129,245,659.55
  5. Step 5: Solve for x
    x = 129,245,659.55/15,072
  6. Step 6: Final answer
    x = 8,575.22

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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.