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Finding the Fourth Proportional to 12,138.66, 18,203.94 and 4,741.20

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Solution

The fourth proportional to 12,138.66, 18,203.94 and 4,741.20 is: 7,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.66 : 18,203.94 = 4,741.20 : x
  2. Step 2: Convert to fraction form
    12,138.66/18,203.94 = 4,741.20/x
  3. Step 3: Cross multiply
    12,138.66x = 18,203.94 × 4,741.20
  4. Step 4: Simplify right side
    12,138.66x = 86,308,520.33
  5. Step 5: Solve for x
    x = 86,308,520.33/12,138.66
  6. Step 6: Final answer
    x = 7,110.22

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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.