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Finding the Fourth Proportional to 18,812.16, 28,224 and 9,584.64

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Solution

The fourth proportional to 18,812.16, 28,224 and 9,584.64 is: 14,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,812.16 : 28,224 = 9,584.64 : x
  2. Step 2: Convert to fraction form
    18,812.16/28,224 = 9,584.64/x
  3. Step 3: Cross multiply
    18,812.16x = 28,224 × 9,584.64
  4. Step 4: Simplify right side
    18,812.16x = 270,516,879.36
  5. Step 5: Solve for x
    x = 270,516,879.36/18,812.16
  6. Step 6: Final answer
    x = 14,379.89

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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.