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Finding the Fourth Proportional to 18,054, 27,077.40 and 6,367.68

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Solution

The fourth proportional to 18,054, 27,077.40 and 6,367.68 is: 9,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,054 : 27,077.40 = 6,367.68 : x
  2. Step 2: Convert to fraction form
    18,054/27,077.40 = 6,367.68/x
  3. Step 3: Cross multiply
    18,054x = 27,077.40 × 6,367.68
  4. Step 4: Simplify right side
    18,054x = 172,420,218.43
  5. Step 5: Solve for x
    x = 172,420,218.43/18,054
  6. Step 6: Final answer
    x = 9,550.25

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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.