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Finding the Fourth Proportional to 5,174.95, 7,747.46 and 4,640.81

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Solution

The fourth proportional to 5,174.95, 7,747.46 and 4,640.81 is: 6,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.95 : 7,747.46 = 4,640.81 : x
  2. Step 2: Convert to fraction form
    5,174.95/7,747.46 = 4,640.81/x
  3. Step 3: Cross multiply
    5,174.95x = 7,747.46 × 4,640.81
  4. Step 4: Simplify right side
    5,174.95x = 35,954,489.84
  5. Step 5: Solve for x
    x = 35,954,489.84/5,174.95
  6. Step 6: Final answer
    x = 6,947.79

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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.