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Finding the Fourth Proportional to 27,646, 38,151.49 and 15,709.35

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Solution

The fourth proportional to 27,646, 38,151.49 and 15,709.35 is: 21,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646 : 38,151.49 = 15,709.35 : x
  2. Step 2: Convert to fraction form
    27,646/38,151.49 = 15,709.35/x
  3. Step 3: Cross multiply
    27,646x = 38,151.49 × 15,709.35
  4. Step 4: Simplify right side
    27,646x = 599,335,109.43
  5. Step 5: Solve for x
    x = 599,335,109.43/27,646
  6. Step 6: Final answer
    x = 21,678.91

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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.