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Finding the Fourth Proportional to 10,826, 16,155.22 and 9,659.60

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Solution

The fourth proportional to 10,826, 16,155.22 and 9,659.60 is: 14,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826 : 16,155.22 = 9,659.60 : x
  2. Step 2: Convert to fraction form
    10,826/16,155.22 = 9,659.60/x
  3. Step 3: Cross multiply
    10,826x = 16,155.22 × 9,659.60
  4. Step 4: Simplify right side
    10,826x = 156,052,963.11
  5. Step 5: Solve for x
    x = 156,052,963.11/10,826
  6. Step 6: Final answer
    x = 14,414.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.