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Finding the Fourth Proportional to 10,812.75, 14,921.61 and 5,844.75

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Solution

The fourth proportional to 10,812.75, 14,921.61 and 5,844.75 is: 8,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.75 : 14,921.61 = 5,844.75 : x
  2. Step 2: Convert to fraction form
    10,812.75/14,921.61 = 5,844.75/x
  3. Step 3: Cross multiply
    10,812.75x = 14,921.61 × 5,844.75
  4. Step 4: Simplify right side
    10,812.75x = 87,213,080.05
  5. Step 5: Solve for x
    x = 87,213,080.05/10,812.75
  6. Step 6: Final answer
    x = 8,065.76

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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.