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Finding the Fourth Proportional to 18,117, 27,185.22 and 13,743

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Solution

The fourth proportional to 18,117, 27,185.22 and 13,743 is: 20,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117 : 27,185.22 = 13,743 : x
  2. Step 2: Convert to fraction form
    18,117/27,185.22 = 13,743/x
  3. Step 3: Cross multiply
    18,117x = 27,185.22 × 13,743
  4. Step 4: Simplify right side
    18,117x = 373,606,478.46
  5. Step 5: Solve for x
    x = 373,606,478.46/18,117
  6. Step 6: Final answer
    x = 20,621.87

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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.