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Finding the Fourth Proportional to 27,650, 38,157.96 and 15,713.84

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Solution

The fourth proportional to 27,650, 38,157.96 and 15,713.84 is: 21,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,650 : 38,157.96 = 15,713.84 : x
  2. Step 2: Convert to fraction form
    27,650/38,157.96 = 15,713.84/x
  3. Step 3: Cross multiply
    27,650x = 38,157.96 × 15,713.84
  4. Step 4: Simplify right side
    27,650x = 599,608,078.17
  5. Step 5: Solve for x
    x = 599,608,078.17/27,650
  6. Step 6: Final answer
    x = 21,685.64

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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.