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Finding the Fourth Proportional to 18,108, 27,165.84 and 5,627.70

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Solution

The fourth proportional to 18,108, 27,165.84 and 5,627.70 is: 8,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,108 : 27,165.84 = 5,627.70 : x
  2. Step 2: Convert to fraction form
    18,108/27,165.84 = 5,627.70/x
  3. Step 3: Cross multiply
    18,108x = 27,165.84 × 5,627.70
  4. Step 4: Simplify right side
    18,108x = 152,881,197.77
  5. Step 5: Solve for x
    x = 152,881,197.77/18,108
  6. Step 6: Final answer
    x = 8,442.74

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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.