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Finding the Fourth Proportional to 8,355, 12,524.16 and 4,182.27

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Solution

The fourth proportional to 8,355, 12,524.16 and 4,182.27 is: 6,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355 : 12,524.16 = 4,182.27 : x
  2. Step 2: Convert to fraction form
    8,355/12,524.16 = 4,182.27/x
  3. Step 3: Cross multiply
    8,355x = 12,524.16 × 4,182.27
  4. Step 4: Simplify right side
    8,355x = 52,379,418.64
  5. Step 5: Solve for x
    x = 52,379,418.64/8,355
  6. Step 6: Final answer
    x = 6,269.23

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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.