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Finding the Fourth Proportional to 12,227.81, 16,874.45 and 7,192.25

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Solution

The fourth proportional to 12,227.81, 16,874.45 and 7,192.25 is: 9,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.81 : 16,874.45 = 7,192.25 : x
  2. Step 2: Convert to fraction form
    12,227.81/16,874.45 = 7,192.25/x
  3. Step 3: Cross multiply
    12,227.81x = 16,874.45 × 7,192.25
  4. Step 4: Simplify right side
    12,227.81x = 121,365,142.68
  5. Step 5: Solve for x
    x = 121,365,142.68/12,227.81
  6. Step 6: Final answer
    x = 9,925.34

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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.