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Finding the Fourth Proportional to 10,057.31, 13,879.08 and 5,581.09

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Solution

The fourth proportional to 10,057.31, 13,879.08 and 5,581.09 is: 7,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.31 : 13,879.08 = 5,581.09 : x
  2. Step 2: Convert to fraction form
    10,057.31/13,879.08 = 5,581.09/x
  3. Step 3: Cross multiply
    10,057.31x = 13,879.08 × 5,581.09
  4. Step 4: Simplify right side
    10,057.31x = 77,460,359.90
  5. Step 5: Solve for x
    x = 77,460,359.90/10,057.31
  6. Step 6: Final answer
    x = 7,701.90

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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.