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Finding the Fourth Proportional to 9,151.77, 13,694.85 and 7,923.42

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Solution

The fourth proportional to 9,151.77, 13,694.85 and 7,923.42 is: 11,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.77 : 13,694.85 = 7,923.42 : x
  2. Step 2: Convert to fraction form
    9,151.77/13,694.85 = 7,923.42/x
  3. Step 3: Cross multiply
    9,151.77x = 13,694.85 × 7,923.42
  4. Step 4: Simplify right side
    9,151.77x = 108,510,048.39
  5. Step 5: Solve for x
    x = 108,510,048.39/9,151.77
  6. Step 6: Final answer
    x = 11,856.73

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1.5x scale

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.