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Finding the Fourth Proportional to 18,289.26, 27,430.44 and 8,919.87

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Solution

The fourth proportional to 18,289.26, 27,430.44 and 8,919.87 is: 13,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.26 : 27,430.44 = 8,919.87 : x
  2. Step 2: Convert to fraction form
    18,289.26/27,430.44 = 8,919.87/x
  3. Step 3: Cross multiply
    18,289.26x = 27,430.44 × 8,919.87
  4. Step 4: Simplify right side
    18,289.26x = 244,675,958.84
  5. Step 5: Solve for x
    x = 244,675,958.84/18,289.26
  6. Step 6: Final answer
    x = 13,378.12

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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.