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Finding the Fourth Proportional to 10,813, 14,921.96 and 5,845

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Solution

The fourth proportional to 10,813, 14,921.96 and 5,845 is: 8,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813 : 14,921.96 = 5,845 : x
  2. Step 2: Convert to fraction form
    10,813/14,921.96 = 5,845/x
  3. Step 3: Cross multiply
    10,813x = 14,921.96 × 5,845
  4. Step 4: Simplify right side
    10,813x = 87,218,856.20
  5. Step 5: Solve for x
    x = 87,218,856.20/10,813
  6. Step 6: Final answer
    x = 8,066.11

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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.