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Finding the Fourth Proportional to 10,369.11, 14,309.01 and 5,892.78

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Solution

The fourth proportional to 10,369.11, 14,309.01 and 5,892.78 is: 8,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.11 : 14,309.01 = 5,892.78 : x
  2. Step 2: Convert to fraction form
    10,369.11/14,309.01 = 5,892.78/x
  3. Step 3: Cross multiply
    10,369.11x = 14,309.01 × 5,892.78
  4. Step 4: Simplify right side
    10,369.11x = 84,319,847.95
  5. Step 5: Solve for x
    x = 84,319,847.95/10,369.11
  6. Step 6: Final answer
    x = 8,131.83

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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.