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Finding the Fourth Proportional to 8,199.87, 11,314.78 and 4,663.16

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Solution

The fourth proportional to 8,199.87, 11,314.78 and 4,663.16 is: 6,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.87 : 11,314.78 = 4,663.16 : x
  2. Step 2: Convert to fraction form
    8,199.87/11,314.78 = 4,663.16/x
  3. Step 3: Cross multiply
    8,199.87x = 11,314.78 × 4,663.16
  4. Step 4: Simplify right side
    8,199.87x = 52,762,549.62
  5. Step 5: Solve for x
    x = 52,762,549.62/8,199.87
  6. Step 6: Final answer
    x = 6,434.56

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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.