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Finding the Fourth Proportional to 12,505.53, 18,734.81 and 8,333.22

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Solution

The fourth proportional to 12,505.53, 18,734.81 and 8,333.22 is: 12,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.53 : 18,734.81 = 8,333.22 : x
  2. Step 2: Convert to fraction form
    12,505.53/18,734.81 = 8,333.22/x
  3. Step 3: Cross multiply
    12,505.53x = 18,734.81 × 8,333.22
  4. Step 4: Simplify right side
    12,505.53x = 156,121,251.72
  5. Step 5: Solve for x
    x = 156,121,251.72/12,505.53
  6. Step 6: Final answer
    x = 12,484.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.