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Finding the Fourth Proportional to 11,921.16, 16,436.06 and 8,522.28

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Solution

The fourth proportional to 11,921.16, 16,436.06 and 8,522.28 is: 11,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.16 : 16,436.06 = 8,522.28 : x
  2. Step 2: Convert to fraction form
    11,921.16/16,436.06 = 8,522.28/x
  3. Step 3: Cross multiply
    11,921.16x = 16,436.06 × 8,522.28
  4. Step 4: Simplify right side
    11,921.16x = 140,072,705.42
  5. Step 5: Solve for x
    x = 140,072,705.42/11,921.16
  6. Step 6: Final answer
    x = 11,749.92

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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.