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Finding the Fourth Proportional to 8,174.92, 11,283.30 and 5,188.36

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Solution

The fourth proportional to 8,174.92, 11,283.30 and 5,188.36 is: 7,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.92 : 11,283.30 = 5,188.36 : x
  2. Step 2: Convert to fraction form
    8,174.92/11,283.30 = 5,188.36/x
  3. Step 3: Cross multiply
    8,174.92x = 11,283.30 × 5,188.36
  4. Step 4: Simplify right side
    8,174.92x = 58,541,822.39
  5. Step 5: Solve for x
    x = 58,541,822.39/8,174.92
  6. Step 6: Final answer
    x = 7,161.15

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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.