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Finding the Fourth Proportional to 11,791.57, 16,280.56 and 8,259.56

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Solution

The fourth proportional to 11,791.57, 16,280.56 and 8,259.56 is: 11,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.57 : 16,280.56 = 8,259.56 : x
  2. Step 2: Convert to fraction form
    11,791.57/16,280.56 = 8,259.56/x
  3. Step 3: Cross multiply
    11,791.57x = 16,280.56 × 8,259.56
  4. Step 4: Simplify right side
    11,791.57x = 134,470,262.15
  5. Step 5: Solve for x
    x = 134,470,262.15/11,791.57
  6. Step 6: Final answer
    x = 11,403.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.