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Finding the Fourth Proportional to 10,611.02, 15,916.49 and 2,819.90

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Solution

The fourth proportional to 10,611.02, 15,916.49 and 2,819.90 is: 4,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.02 : 15,916.49 = 2,819.90 : x
  2. Step 2: Convert to fraction form
    10,611.02/15,916.49 = 2,819.90/x
  3. Step 3: Cross multiply
    10,611.02x = 15,916.49 × 2,819.90
  4. Step 4: Simplify right side
    10,611.02x = 44,882,910.15
  5. Step 5: Solve for x
    x = 44,882,910.15/10,611.02
  6. Step 6: Final answer
    x = 4,229.84

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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.