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Finding the Fourth Proportional to 18,891.70, 28,338.56 and 5,743.06

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Solution

The fourth proportional to 18,891.70, 28,338.56 and 5,743.06 is: 8,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,891.70 : 28,338.56 = 5,743.06 : x
  2. Step 2: Convert to fraction form
    18,891.70/28,338.56 = 5,743.06/x
  3. Step 3: Cross multiply
    18,891.70x = 28,338.56 × 5,743.06
  4. Step 4: Simplify right side
    18,891.70x = 162,750,050.39
  5. Step 5: Solve for x
    x = 162,750,050.39/18,891.70
  6. Step 6: Final answer
    x = 8,614.90

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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.