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Finding the Fourth Proportional to 18,647.59, 27,964.72 and 6,165.31

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Solution

The fourth proportional to 18,647.59, 27,964.72 and 6,165.31 is: 9,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.59 : 27,964.72 = 6,165.31 : x
  2. Step 2: Convert to fraction form
    18,647.59/27,964.72 = 6,165.31/x
  3. Step 3: Cross multiply
    18,647.59x = 27,964.72 × 6,165.31
  4. Step 4: Simplify right side
    18,647.59x = 172,410,997.21
  5. Step 5: Solve for x
    x = 172,410,997.21/18,647.59
  6. Step 6: Final answer
    x = 9,245.75

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1.5x scale

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.