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Finding the Fourth Proportional to 27,864, 38,457.18 and 16,686

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Solution

The fourth proportional to 27,864, 38,457.18 and 16,686 is: 23,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 38,457.18 = 16,686 : x
  2. Step 2: Convert to fraction form
    27,864/38,457.18 = 16,686/x
  3. Step 3: Cross multiply
    27,864x = 38,457.18 × 16,686
  4. Step 4: Simplify right side
    27,864x = 641,696,505.48
  5. Step 5: Solve for x
    x = 641,696,505.48/27,864
  6. Step 6: Final answer
    x = 23,029.59

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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.