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Finding the Fourth Proportional to 10,959.10, 16,438.65 and 6,811.90

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Solution

The fourth proportional to 10,959.10, 16,438.65 and 6,811.90 is: 10,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.10 : 16,438.65 = 6,811.90 : x
  2. Step 2: Convert to fraction form
    10,959.10/16,438.65 = 6,811.90/x
  3. Step 3: Cross multiply
    10,959.10x = 16,438.65 × 6,811.90
  4. Step 4: Simplify right side
    10,959.10x = 111,978,439.94
  5. Step 5: Solve for x
    x = 111,978,439.94/10,959.10
  6. Step 6: Final answer
    x = 10,217.85

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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.