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Finding the Fourth Proportional to 5,138.66, 7,703.65 and 2,177

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Solution

The fourth proportional to 5,138.66, 7,703.65 and 2,177 is: 3,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.66 : 7,703.65 = 2,177 : x
  2. Step 2: Convert to fraction form
    5,138.66/7,703.65 = 2,177/x
  3. Step 3: Cross multiply
    5,138.66x = 7,703.65 × 2,177
  4. Step 4: Simplify right side
    5,138.66x = 16,770,846.05
  5. Step 5: Solve for x
    x = 16,770,846.05/5,138.66
  6. Step 6: Final answer
    x = 3,263.66

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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.