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Finding the Fourth Proportional to 20,090, 27,724.24 and 11,258

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Solution

The fourth proportional to 20,090, 27,724.24 and 11,258 is: 15,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090 : 27,724.24 = 11,258 : x
  2. Step 2: Convert to fraction form
    20,090/27,724.24 = 11,258/x
  3. Step 3: Cross multiply
    20,090x = 27,724.24 × 11,258
  4. Step 4: Simplify right side
    20,090x = 312,119,493.92
  5. Step 5: Solve for x
    x = 312,119,493.92/20,090
  6. Step 6: Final answer
    x = 15,536.06

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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.