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Finding the Fourth Proportional to 11,772.17, 16,245.54 and 6,394.58

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Solution

The fourth proportional to 11,772.17, 16,245.54 and 6,394.58 is: 8,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.17 : 16,245.54 = 6,394.58 : x
  2. Step 2: Convert to fraction form
    11,772.17/16,245.54 = 6,394.58/x
  3. Step 3: Cross multiply
    11,772.17x = 16,245.54 × 6,394.58
  4. Step 4: Simplify right side
    11,772.17x = 103,883,323.95
  5. Step 5: Solve for x
    x = 103,883,323.95/11,772.17
  6. Step 6: Final answer
    x = 8,824.49

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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.