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Finding the Fourth Proportional to 27,662, 38,173.56 and 15,086.84

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Solution

The fourth proportional to 27,662, 38,173.56 and 15,086.84 is: 20,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662 : 38,173.56 = 15,086.84 : x
  2. Step 2: Convert to fraction form
    27,662/38,173.56 = 15,086.84/x
  3. Step 3: Cross multiply
    27,662x = 38,173.56 × 15,086.84
  4. Step 4: Simplify right side
    27,662x = 575,918,391.95
  5. Step 5: Solve for x
    x = 575,918,391.95/27,662
  6. Step 6: Final answer
    x = 20,819.84

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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.