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Finding the Fourth Proportional to 12,225.97, 16,872.32 and 7,511.77

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Solution

The fourth proportional to 12,225.97, 16,872.32 and 7,511.77 is: 10,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.97 : 16,872.32 = 7,511.77 : x
  2. Step 2: Convert to fraction form
    12,225.97/16,872.32 = 7,511.77/x
  3. Step 3: Cross multiply
    12,225.97x = 16,872.32 × 7,511.77
  4. Step 4: Simplify right side
    12,225.97x = 126,740,987.21
  5. Step 5: Solve for x
    x = 126,740,987.21/12,225.97
  6. Step 6: Final answer
    x = 10,366.54

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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.