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Finding the Fourth Proportional to 18,165, 27,232.79 and 5,678.59

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Solution

The fourth proportional to 18,165, 27,232.79 and 5,678.59 is: 8,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,165 : 27,232.79 = 5,678.59 : x
  2. Step 2: Convert to fraction form
    18,165/27,232.79 = 5,678.59/x
  3. Step 3: Cross multiply
    18,165x = 27,232.79 × 5,678.59
  4. Step 4: Simplify right side
    18,165x = 154,643,848.97
  5. Step 5: Solve for x
    x = 154,643,848.97/18,165
  6. Step 6: Final answer
    x = 8,513.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.