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Finding the Fourth Proportional to 20,147.96, 27,802.82 and 11,073.96

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Solution

The fourth proportional to 20,147.96, 27,802.82 and 11,073.96 is: 15,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.96 : 27,802.82 = 11,073.96 : x
  2. Step 2: Convert to fraction form
    20,147.96/27,802.82 = 11,073.96/x
  3. Step 3: Cross multiply
    20,147.96x = 27,802.82 × 11,073.96
  4. Step 4: Simplify right side
    20,147.96x = 307,887,344.25
  5. Step 5: Solve for x
    x = 307,887,344.25/20,147.96
  6. Step 6: Final answer
    x = 15,281.31

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1.5x scale

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.