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Finding the Fourth Proportional to 18,871.24, 28,310.97 and 5,724.64

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Solution

The fourth proportional to 18,871.24, 28,310.97 and 5,724.64 is: 8,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,871.24 : 28,310.97 = 5,724.64 : x
  2. Step 2: Convert to fraction form
    18,871.24/28,310.97 = 5,724.64/x
  3. Step 3: Cross multiply
    18,871.24x = 28,310.97 × 5,724.64
  4. Step 4: Simplify right side
    18,871.24x = 162,070,111.30
  5. Step 5: Solve for x
    x = 162,070,111.30/18,871.24
  6. Step 6: Final answer
    x = 8,588.21

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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.