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Finding the Fourth Proportional to 27,660, 38,170.80 and 15,084.84

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Solution

The fourth proportional to 27,660, 38,170.80 and 15,084.84 is: 20,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,660 : 38,170.80 = 15,084.84 : x
  2. Step 2: Convert to fraction form
    27,660/38,170.80 = 15,084.84/x
  3. Step 3: Cross multiply
    27,660x = 38,170.80 × 15,084.84
  4. Step 4: Simplify right side
    27,660x = 575,800,410.67
  5. Step 5: Solve for x
    x = 575,800,410.67/27,660
  6. Step 6: Final answer
    x = 20,817.08

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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.