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Finding the Fourth Proportional to 10,082.66, 13,914.13 and 6,102.78

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Solution

The fourth proportional to 10,082.66, 13,914.13 and 6,102.78 is: 8,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.66 : 13,914.13 = 6,102.78 : x
  2. Step 2: Convert to fraction form
    10,082.66/13,914.13 = 6,102.78/x
  3. Step 3: Cross multiply
    10,082.66x = 13,914.13 × 6,102.78
  4. Step 4: Simplify right side
    10,082.66x = 84,914,774.20
  5. Step 5: Solve for x
    x = 84,914,774.20/10,082.66
  6. Step 6: Final answer
    x = 8,421.86

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