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Finding the Fourth Proportional to 8,221.02, 11,343.42 and 4,684.14

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Solution

The fourth proportional to 8,221.02, 11,343.42 and 4,684.14 is: 6,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.02 : 11,343.42 = 4,684.14 : x
  2. Step 2: Convert to fraction form
    8,221.02/11,343.42 = 4,684.14/x
  3. Step 3: Cross multiply
    8,221.02x = 11,343.42 × 4,684.14
  4. Step 4: Simplify right side
    8,221.02x = 53,134,167.36
  5. Step 5: Solve for x
    x = 53,134,167.36/8,221.02
  6. Step 6: Final answer
    x = 6,463.21

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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.