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Finding the Fourth Proportional to 18,591, 27,886.86 and 4,551.15

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Solution

The fourth proportional to 18,591, 27,886.86 and 4,551.15 is: 6,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,591 : 27,886.86 = 4,551.15 : x
  2. Step 2: Convert to fraction form
    18,591/27,886.86 = 4,551.15/x
  3. Step 3: Cross multiply
    18,591x = 27,886.86 × 4,551.15
  4. Step 4: Simplify right side
    18,591x = 126,917,282.89
  5. Step 5: Solve for x
    x = 126,917,282.89/18,591
  6. Step 6: Final answer
    x = 6,826.81

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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.