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Finding the Fourth Proportional to 9,272.15, 13,884.11 and 7,787.96

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Solution

The fourth proportional to 9,272.15, 13,884.11 and 7,787.96 is: 11,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.15 : 13,884.11 = 7,787.96 : x
  2. Step 2: Convert to fraction form
    9,272.15/13,884.11 = 7,787.96/x
  3. Step 3: Cross multiply
    9,272.15x = 13,884.11 × 7,787.96
  4. Step 4: Simplify right side
    9,272.15x = 108,128,893.32
  5. Step 5: Solve for x
    x = 108,128,893.32/9,272.15
  6. Step 6: Final answer
    x = 11,661.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.