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Finding the Fourth Proportional to 8,205.24, 12,300.52 and 3,820.32

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Solution

The fourth proportional to 8,205.24, 12,300.52 and 3,820.32 is: 5,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.24 : 12,300.52 = 3,820.32 : x
  2. Step 2: Convert to fraction form
    8,205.24/12,300.52 = 3,820.32/x
  3. Step 3: Cross multiply
    8,205.24x = 12,300.52 × 3,820.32
  4. Step 4: Simplify right side
    8,205.24x = 46,991,922.57
  5. Step 5: Solve for x
    x = 46,991,922.57/8,205.24
  6. Step 6: Final answer
    x = 5,727.06

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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.