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Finding the Fourth Proportional to 20,183, 27,852.66 and 11,351

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Solution

The fourth proportional to 20,183, 27,852.66 and 11,351 is: 15,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183 : 27,852.66 = 11,351 : x
  2. Step 2: Convert to fraction form
    20,183/27,852.66 = 11,351/x
  3. Step 3: Cross multiply
    20,183x = 27,852.66 × 11,351
  4. Step 4: Simplify right side
    20,183x = 316,155,543.66
  5. Step 5: Solve for x
    x = 316,155,543.66/20,183
  6. Step 6: Final answer
    x = 15,664.45

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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.