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Finding the Fourth Proportional to 27,838.69, 38,416.48 and 15,899.49

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Solution

The fourth proportional to 27,838.69, 38,416.48 and 15,899.49 is: 21,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.69 : 38,416.48 = 15,899.49 : x
  2. Step 2: Convert to fraction form
    27,838.69/38,416.48 = 15,899.49/x
  3. Step 3: Cross multiply
    27,838.69x = 38,416.48 × 15,899.49
  4. Step 4: Simplify right side
    27,838.69x = 610,802,399.85
  5. Step 5: Solve for x
    x = 610,802,399.85/27,838.69
  6. Step 6: Final answer
    x = 21,940.78

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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.