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Finding the Fourth Proportional to 11,625.80, 16,046.15 and 7,647.30

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Solution

The fourth proportional to 11,625.80, 16,046.15 and 7,647.30 is: 10,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.80 : 16,046.15 = 7,647.30 : x
  2. Step 2: Convert to fraction form
    11,625.80/16,046.15 = 7,647.30/x
  3. Step 3: Cross multiply
    11,625.80x = 16,046.15 × 7,647.30
  4. Step 4: Simplify right side
    11,625.80x = 122,709,684.66
  5. Step 5: Solve for x
    x = 122,709,684.66/11,625.80
  6. Step 6: Final answer
    x = 10,554.95

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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.