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Finding the Fourth Proportional to 27,662.88, 38,174.78 and 15,725.92

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Solution

The fourth proportional to 27,662.88, 38,174.78 and 15,725.92 is: 21,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.88 : 38,174.78 = 15,725.92 : x
  2. Step 2: Convert to fraction form
    27,662.88/38,174.78 = 15,725.92/x
  3. Step 3: Cross multiply
    27,662.88x = 38,174.78 × 15,725.92
  4. Step 4: Simplify right side
    27,662.88x = 600,333,536.30
  5. Step 5: Solve for x
    x = 600,333,536.30/27,662.88
  6. Step 6: Final answer
    x = 21,701.77

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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.