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Finding the Fourth Proportional to 18,380, 27,570.27 and 4,529

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Solution

The fourth proportional to 18,380, 27,570.27 and 4,529 is: 6,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,380 : 27,570.27 = 4,529 : x
  2. Step 2: Convert to fraction form
    18,380/27,570.27 = 4,529/x
  3. Step 3: Cross multiply
    18,380x = 27,570.27 × 4,529
  4. Step 4: Simplify right side
    18,380x = 124,865,752.83
  5. Step 5: Solve for x
    x = 124,865,752.83/18,380
  6. Step 6: Final answer
    x = 6,793.57

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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.