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Finding the Fourth Proportional to 12,177.97, 16,805.66 and 7,462.15

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Solution

The fourth proportional to 12,177.97, 16,805.66 and 7,462.15 is: 10,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.97 : 16,805.66 = 7,462.15 : x
  2. Step 2: Convert to fraction form
    12,177.97/16,805.66 = 7,462.15/x
  3. Step 3: Cross multiply
    12,177.97x = 16,805.66 × 7,462.15
  4. Step 4: Simplify right side
    12,177.97x = 125,406,276.44
  5. Step 5: Solve for x
    x = 125,406,276.44/12,177.97
  6. Step 6: Final answer
    x = 10,297.80

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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.