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Finding the Fourth Proportional to 18,102.75, 27,147.10 and 6,254.34

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Solution

The fourth proportional to 18,102.75, 27,147.10 and 6,254.34 is: 9,379.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.75 : 27,147.10 = 6,254.34 : x
  2. Step 2: Convert to fraction form
    18,102.75/27,147.10 = 6,254.34/x
  3. Step 3: Cross multiply
    18,102.75x = 27,147.10 × 6,254.34
  4. Step 4: Simplify right side
    18,102.75x = 169,787,193.41
  5. Step 5: Solve for x
    x = 169,787,193.41/18,102.75
  6. Step 6: Final answer
    x = 9,379.08

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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.