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Finding the Fourth Proportional to 18,242.70, 27,360.63 and 7,709.28

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Solution

The fourth proportional to 18,242.70, 27,360.63 and 7,709.28 is: 11,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242.70 : 27,360.63 = 7,709.28 : x
  2. Step 2: Convert to fraction form
    18,242.70/27,360.63 = 7,709.28/x
  3. Step 3: Cross multiply
    18,242.70x = 27,360.63 × 7,709.28
  4. Step 4: Simplify right side
    18,242.70x = 210,930,757.65
  5. Step 5: Solve for x
    x = 210,930,757.65/18,242.70
  6. Step 6: Final answer
    x = 11,562.47

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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.