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Finding the Fourth Proportional to 18,647.46, 27,964.53 and 6,165.18

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Solution

The fourth proportional to 18,647.46, 27,964.53 and 6,165.18 is: 9,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.46 : 27,964.53 = 6,165.18 : x
  2. Step 2: Convert to fraction form
    18,647.46/27,964.53 = 6,165.18/x
  3. Step 3: Cross multiply
    18,647.46x = 27,964.53 × 6,165.18
  4. Step 4: Simplify right side
    18,647.46x = 172,406,361.07
  5. Step 5: Solve for x
    x = 172,406,361.07/18,647.46
  6. Step 6: Final answer
    x = 9,245.57

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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.