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Finding the Fourth Proportional to 18,542.46, 27,804.78 and 7,446.18

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Solution

The fourth proportional to 18,542.46, 27,804.78 and 7,446.18 is: 11,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.46 : 27,804.78 = 7,446.18 : x
  2. Step 2: Convert to fraction form
    18,542.46/27,804.78 = 7,446.18/x
  3. Step 3: Cross multiply
    18,542.46x = 27,804.78 × 7,446.18
  4. Step 4: Simplify right side
    18,542.46x = 207,039,396.74
  5. Step 5: Solve for x
    x = 207,039,396.74/18,542.46
  6. Step 6: Final answer
    x = 11,165.69

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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.