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Finding the Fourth Proportional to 5,424.74, 8,141.73 and 3,868.56

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Solution

The fourth proportional to 5,424.74, 8,141.73 and 3,868.56 is: 5,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.74 : 8,141.73 = 3,868.56 : x
  2. Step 2: Convert to fraction form
    5,424.74/8,141.73 = 3,868.56/x
  3. Step 3: Cross multiply
    5,424.74x = 8,141.73 × 3,868.56
  4. Step 4: Simplify right side
    5,424.74x = 31,496,771.01
  5. Step 5: Solve for x
    x = 31,496,771.01/5,424.74
  6. Step 6: Final answer
    x = 5,806.13

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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.