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Finding the Fourth Proportional to 5,939.77, 8,908.24 and 1,778.66

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Solution

The fourth proportional to 5,939.77, 8,908.24 and 1,778.66 is: 2,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.77 : 8,908.24 = 1,778.66 : x
  2. Step 2: Convert to fraction form
    5,939.77/8,908.24 = 1,778.66/x
  3. Step 3: Cross multiply
    5,939.77x = 8,908.24 × 1,778.66
  4. Step 4: Simplify right side
    5,939.77x = 15,844,747.98
  5. Step 5: Solve for x
    x = 15,844,747.98/5,939.77
  6. Step 6: Final answer
    x = 2,667.57

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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.