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Finding the Fourth Proportional to 8,202.71, 11,319.51 and 4,618.05

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Solution

The fourth proportional to 8,202.71, 11,319.51 and 4,618.05 is: 6,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.71 : 11,319.51 = 4,618.05 : x
  2. Step 2: Convert to fraction form
    8,202.71/11,319.51 = 4,618.05/x
  3. Step 3: Cross multiply
    8,202.71x = 11,319.51 × 4,618.05
  4. Step 4: Simplify right side
    8,202.71x = 52,274,063.16
  5. Step 5: Solve for x
    x = 52,274,063.16/8,202.71
  6. Step 6: Final answer
    x = 6,372.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.