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Finding the Fourth Proportional to 8,729.76, 12,046.50 and 5,193.24

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Solution

The fourth proportional to 8,729.76, 12,046.50 and 5,193.24 is: 7,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.76 : 12,046.50 = 5,193.24 : x
  2. Step 2: Convert to fraction form
    8,729.76/12,046.50 = 5,193.24/x
  3. Step 3: Cross multiply
    8,729.76x = 12,046.50 × 5,193.24
  4. Step 4: Simplify right side
    8,729.76x = 62,560,365.66
  5. Step 5: Solve for x
    x = 62,560,365.66/8,729.76
  6. Step 6: Final answer
    x = 7,166.33

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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.