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Finding the Fourth Proportional to 12,057.18, 18,056.43 and 8,349

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Solution

The fourth proportional to 12,057.18, 18,056.43 and 8,349 is: 12,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.18 : 18,056.43 = 8,349 : x
  2. Step 2: Convert to fraction form
    12,057.18/18,056.43 = 8,349/x
  3. Step 3: Cross multiply
    12,057.18x = 18,056.43 × 8,349
  4. Step 4: Simplify right side
    12,057.18x = 150,753,134.07
  5. Step 5: Solve for x
    x = 150,753,134.07/12,057.18
  6. Step 6: Final answer
    x = 12,503.18

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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.