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Finding the Fourth Proportional to 12,350, 18,525 and 5,424.68

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Solution

The fourth proportional to 12,350, 18,525 and 5,424.68 is: 8,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350 : 18,525 = 5,424.68 : x
  2. Step 2: Convert to fraction form
    12,350/18,525 = 5,424.68/x
  3. Step 3: Cross multiply
    12,350x = 18,525 × 5,424.68
  4. Step 4: Simplify right side
    12,350x = 100,492,197
  5. Step 5: Solve for x
    x = 100,492,197/12,350
  6. Step 6: Final answer
    x = 8,137.02

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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.