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Finding the Fourth Proportional to 18,585.54, 27,878.31 and 8,204.58

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Solution

The fourth proportional to 18,585.54, 27,878.31 and 8,204.58 is: 12,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.54 : 27,878.31 = 8,204.58 : x
  2. Step 2: Convert to fraction form
    18,585.54/27,878.31 = 8,204.58/x
  3. Step 3: Cross multiply
    18,585.54x = 27,878.31 × 8,204.58
  4. Step 4: Simplify right side
    18,585.54x = 228,729,824.66
  5. Step 5: Solve for x
    x = 228,729,824.66/18,585.54
  6. Step 6: Final answer
    x = 12,306.87

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1.5x scale

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.