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Finding the Fourth Proportional to 18,659.76, 27,994.24 and 5,512.08

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Solution

The fourth proportional to 18,659.76, 27,994.24 and 5,512.08 is: 8,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,659.76 : 27,994.24 = 5,512.08 : x
  2. Step 2: Convert to fraction form
    18,659.76/27,994.24 = 5,512.08/x
  3. Step 3: Cross multiply
    18,659.76x = 27,994.24 × 5,512.08
  4. Step 4: Simplify right side
    18,659.76x = 154,306,490.42
  5. Step 5: Solve for x
    x = 154,306,490.42/18,659.76
  6. Step 6: Final answer
    x = 8,269.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.