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Finding the Fourth Proportional to 18,471.98, 27,708.80 and 6,778.82

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Solution

The fourth proportional to 18,471.98, 27,708.80 and 6,778.82 is: 10,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.98 : 27,708.80 = 6,778.82 : x
  2. Step 2: Convert to fraction form
    18,471.98/27,708.80 = 6,778.82/x
  3. Step 3: Cross multiply
    18,471.98x = 27,708.80 × 6,778.82
  4. Step 4: Simplify right side
    18,471.98x = 187,833,002.99
  5. Step 5: Solve for x
    x = 187,833,002.99/18,471.98
  6. Step 6: Final answer
    x = 10,168.54

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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.