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Finding the Fourth Proportional to 27,657.82, 38,167.77 and 15,721.91

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Solution

The fourth proportional to 27,657.82, 38,167.77 and 15,721.91 is: 21,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.82 : 38,167.77 = 15,721.91 : x
  2. Step 2: Convert to fraction form
    27,657.82/38,167.77 = 15,721.91/x
  3. Step 3: Cross multiply
    27,657.82x = 38,167.77 × 15,721.91
  4. Step 4: Simplify right side
    27,657.82x = 600,070,470.78
  5. Step 5: Solve for x
    x = 600,070,470.78/27,657.82
  6. Step 6: Final answer
    x = 21,696.23

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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.