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Finding the Fourth Proportional to 18,651, 27,976.50 and 5,503.19

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Solution

The fourth proportional to 18,651, 27,976.50 and 5,503.19 is: 8,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651 : 27,976.50 = 5,503.19 : x
  2. Step 2: Convert to fraction form
    18,651/27,976.50 = 5,503.19/x
  3. Step 3: Cross multiply
    18,651x = 27,976.50 × 5,503.19
  4. Step 4: Simplify right side
    18,651x = 153,959,855.15
  5. Step 5: Solve for x
    x = 153,959,855.15/18,651
  6. Step 6: Final answer
    x = 8,254.78

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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.