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Finding the Fourth Proportional to 12,176.94, 16,812.99 and 7,997.34

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Solution

The fourth proportional to 12,176.94, 16,812.99 and 7,997.34 is: 11,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.94 : 16,812.99 = 7,997.34 : x
  2. Step 2: Convert to fraction form
    12,176.94/16,812.99 = 7,997.34/x
  3. Step 3: Cross multiply
    12,176.94x = 16,812.99 × 7,997.34
  4. Step 4: Simplify right side
    12,176.94x = 134,459,197.45
  5. Step 5: Solve for x
    x = 134,459,197.45/12,176.94
  6. Step 6: Final answer
    x = 11,042.12

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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.