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Finding the Fourth Proportional to 10,682.20, 16,023.22 and 2,891

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Solution

The fourth proportional to 10,682.20, 16,023.22 and 2,891 is: 4,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.20 : 16,023.22 = 2,891 : x
  2. Step 2: Convert to fraction form
    10,682.20/16,023.22 = 2,891/x
  3. Step 3: Cross multiply
    10,682.20x = 16,023.22 × 2,891
  4. Step 4: Simplify right side
    10,682.20x = 46,323,129.02
  5. Step 5: Solve for x
    x = 46,323,129.02/10,682.20
  6. Step 6: Final answer
    x = 4,336.48

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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.