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Finding the Fourth Proportional to 8,311.77, 11,471.73 and 4,954.80

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Solution

The fourth proportional to 8,311.77, 11,471.73 and 4,954.80 is: 6,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.77 : 11,471.73 = 4,954.80 : x
  2. Step 2: Convert to fraction form
    8,311.77/11,471.73 = 4,954.80/x
  3. Step 3: Cross multiply
    8,311.77x = 11,471.73 × 4,954.80
  4. Step 4: Simplify right side
    8,311.77x = 56,840,087.71
  5. Step 5: Solve for x
    x = 56,840,087.71/8,311.77
  6. Step 6: Final answer
    x = 6,838.51

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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.