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Finding the Fourth Proportional to 8,200.64, 12,291.34 and 3,523.18

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Solution

The fourth proportional to 8,200.64, 12,291.34 and 3,523.18 is: 5,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.64 : 12,291.34 = 3,523.18 : x
  2. Step 2: Convert to fraction form
    8,200.64/12,291.34 = 3,523.18/x
  3. Step 3: Cross multiply
    8,200.64x = 12,291.34 × 3,523.18
  4. Step 4: Simplify right side
    8,200.64x = 43,304,603.26
  5. Step 5: Solve for x
    x = 43,304,603.26/8,200.64
  6. Step 6: Final answer
    x = 5,280.64

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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.