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Finding the Fourth Proportional to 18,622.72, 27,934.08 and 5,475.20

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Solution

The fourth proportional to 18,622.72, 27,934.08 and 5,475.20 is: 8,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,622.72 : 27,934.08 = 5,475.20 : x
  2. Step 2: Convert to fraction form
    18,622.72/27,934.08 = 5,475.20/x
  3. Step 3: Cross multiply
    18,622.72x = 27,934.08 × 5,475.20
  4. Step 4: Simplify right side
    18,622.72x = 152,944,647.44
  5. Step 5: Solve for x
    x = 152,944,647.44/18,622.72
  6. Step 6: Final answer
    x = 8,212.80

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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.