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Finding the Fourth Proportional to 12,118, 18,165.66 and 11,035.84

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Solution

The fourth proportional to 12,118, 18,165.66 and 11,035.84 is: 16,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118 : 18,165.66 = 11,035.84 : x
  2. Step 2: Convert to fraction form
    12,118/18,165.66 = 11,035.84/x
  3. Step 3: Cross multiply
    12,118x = 18,165.66 × 11,035.84
  4. Step 4: Simplify right side
    12,118x = 200,473,317.25
  5. Step 5: Solve for x
    x = 200,473,317.25/12,118
  6. Step 6: Final answer
    x = 16,543.43

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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.