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Finding the Fourth Proportional to 8,082, 11,153.34 and 4,939.92

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Solution

The fourth proportional to 8,082, 11,153.34 and 4,939.92 is: 6,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082 : 11,153.34 = 4,939.92 : x
  2. Step 2: Convert to fraction form
    8,082/11,153.34 = 4,939.92/x
  3. Step 3: Cross multiply
    8,082x = 11,153.34 × 4,939.92
  4. Step 4: Simplify right side
    8,082x = 55,096,607.33
  5. Step 5: Solve for x
    x = 55,096,607.33/8,082
  6. Step 6: Final answer
    x = 6,817.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.