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Finding the Fourth Proportional to 10,008.56, 13,812.64 and 5,816.56

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Solution

The fourth proportional to 10,008.56, 13,812.64 and 5,816.56 is: 8,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.56 : 13,812.64 = 5,816.56 : x
  2. Step 2: Convert to fraction form
    10,008.56/13,812.64 = 5,816.56/x
  3. Step 3: Cross multiply
    10,008.56x = 13,812.64 × 5,816.56
  4. Step 4: Simplify right side
    10,008.56x = 80,342,049.32
  5. Step 5: Solve for x
    x = 80,342,049.32/10,008.56
  6. Step 6: Final answer
    x = 8,027.33

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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.