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Finding the Fourth Proportional to 18,543.87, 27,821.74 and 5,397.03

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Solution

The fourth proportional to 18,543.87, 27,821.74 and 5,397.03 is: 8,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.87 : 27,821.74 = 5,397.03 : x
  2. Step 2: Convert to fraction form
    18,543.87/27,821.74 = 5,397.03/x
  3. Step 3: Cross multiply
    18,543.87x = 27,821.74 × 5,397.03
  4. Step 4: Simplify right side
    18,543.87x = 150,154,765.43
  5. Step 5: Solve for x
    x = 150,154,765.43/18,543.87
  6. Step 6: Final answer
    x = 8,097.27

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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.