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Finding the Fourth Proportional to 8,200.02, 11,314.32 and 5,214.78

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Solution

The fourth proportional to 8,200.02, 11,314.32 and 5,214.78 is: 7,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.02 : 11,314.32 = 5,214.78 : x
  2. Step 2: Convert to fraction form
    8,200.02/11,314.32 = 5,214.78/x
  3. Step 3: Cross multiply
    8,200.02x = 11,314.32 × 5,214.78
  4. Step 4: Simplify right side
    8,200.02x = 59,001,689.65
  5. Step 5: Solve for x
    x = 59,001,689.65/8,200.02
  6. Step 6: Final answer
    x = 7,195.31

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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.