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Finding the Fourth Proportional to 18,591, 27,871.76 and 6,742.92

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Solution

The fourth proportional to 18,591, 27,871.76 and 6,742.92 is: 10,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,591 : 27,871.76 = 6,742.92 : x
  2. Step 2: Convert to fraction form
    18,591/27,871.76 = 6,742.92/x
  3. Step 3: Cross multiply
    18,591x = 27,871.76 × 6,742.92
  4. Step 4: Simplify right side
    18,591x = 187,937,047.94
  5. Step 5: Solve for x
    x = 187,937,047.94/18,591
  6. Step 6: Final answer
    x = 10,109.03

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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.