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Finding the Fourth Proportional to 8,224.32, 12,336.48 and 2,381.52

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Solution

The fourth proportional to 8,224.32, 12,336.48 and 2,381.52 is: 3,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.32 : 12,336.48 = 2,381.52 : x
  2. Step 2: Convert to fraction form
    8,224.32/12,336.48 = 2,381.52/x
  3. Step 3: Cross multiply
    8,224.32x = 12,336.48 × 2,381.52
  4. Step 4: Simplify right side
    8,224.32x = 29,379,573.85
  5. Step 5: Solve for x
    x = 29,379,573.85/8,224.32
  6. Step 6: Final answer
    x = 3,572.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.