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Finding the Fourth Proportional to 27,585, 38,067.91 and 15,009.75

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Solution

The fourth proportional to 27,585, 38,067.91 and 15,009.75 is: 20,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585 : 38,067.91 = 15,009.75 : x
  2. Step 2: Convert to fraction form
    27,585/38,067.91 = 15,009.75/x
  3. Step 3: Cross multiply
    27,585x = 38,067.91 × 15,009.75
  4. Step 4: Simplify right side
    27,585x = 571,389,774.60
  5. Step 5: Solve for x
    x = 571,389,774.60/27,585
  6. Step 6: Final answer
    x = 20,713.79

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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.