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Finding the Fourth Proportional to 8,381.93, 12,571.70 and 2,834.52

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Solution

The fourth proportional to 8,381.93, 12,571.70 and 2,834.52 is: 4,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.93 : 12,571.70 = 2,834.52 : x
  2. Step 2: Convert to fraction form
    8,381.93/12,571.70 = 2,834.52/x
  3. Step 3: Cross multiply
    8,381.93x = 12,571.70 × 2,834.52
  4. Step 4: Simplify right side
    8,381.93x = 35,634,720.91
  5. Step 5: Solve for x
    x = 35,634,720.91/8,381.93
  6. Step 6: Final answer
    x = 4,251.38

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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.