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Finding the Fourth Proportional to 18,470.42, 27,705.68 and 7,378.01

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Solution

The fourth proportional to 18,470.42, 27,705.68 and 7,378.01 is: 11,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.42 : 27,705.68 = 7,378.01 : x
  2. Step 2: Convert to fraction form
    18,470.42/27,705.68 = 7,378.01/x
  3. Step 3: Cross multiply
    18,470.42x = 27,705.68 × 7,378.01
  4. Step 4: Simplify right side
    18,470.42x = 204,412,784.10
  5. Step 5: Solve for x
    x = 204,412,784.10/18,470.42
  6. Step 6: Final answer
    x = 11,067.03

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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.