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Finding the Fourth Proportional to 12,122.64, 16,728.66 and 6,818.04

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Solution

The fourth proportional to 12,122.64, 16,728.66 and 6,818.04 is: 9,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.64 : 16,728.66 = 6,818.04 : x
  2. Step 2: Convert to fraction form
    12,122.64/16,728.66 = 6,818.04/x
  3. Step 3: Cross multiply
    12,122.64x = 16,728.66 × 6,818.04
  4. Step 4: Simplify right side
    12,122.64x = 114,056,673.03
  5. Step 5: Solve for x
    x = 114,056,673.03/12,122.64
  6. Step 6: Final answer
    x = 9,408.57

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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.