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Finding the Fourth Proportional to 18,137.76, 27,203.13 and 4,986.78

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Solution

The fourth proportional to 18,137.76, 27,203.13 and 4,986.78 is: 7,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.76 : 27,203.13 = 4,986.78 : x
  2. Step 2: Convert to fraction form
    18,137.76/27,203.13 = 4,986.78/x
  3. Step 3: Cross multiply
    18,137.76x = 27,203.13 × 4,986.78
  4. Step 4: Simplify right side
    18,137.76x = 135,656,024.62
  5. Step 5: Solve for x
    x = 135,656,024.62/18,137.76
  6. Step 6: Final answer
    x = 7,479.20

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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.