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Finding the Fourth Proportional to 11,139.80, 16,709.10 and 2,819.24

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Solution

The fourth proportional to 11,139.80, 16,709.10 and 2,819.24 is: 4,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.80 : 16,709.10 = 2,819.24 : x
  2. Step 2: Convert to fraction form
    11,139.80/16,709.10 = 2,819.24/x
  3. Step 3: Cross multiply
    11,139.80x = 16,709.10 × 2,819.24
  4. Step 4: Simplify right side
    11,139.80x = 47,106,963.08
  5. Step 5: Solve for x
    x = 47,106,963.08/11,139.80
  6. Step 6: Final answer
    x = 4,228.71

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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.