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Finding the Fourth Proportional to 18,695.13, 28,048 and 7,609.78

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Solution

The fourth proportional to 18,695.13, 28,048 and 7,609.78 is: 11,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,695.13 : 28,048 = 7,609.78 : x
  2. Step 2: Convert to fraction form
    18,695.13/28,048 = 7,609.78/x
  3. Step 3: Cross multiply
    18,695.13x = 28,048 × 7,609.78
  4. Step 4: Simplify right side
    18,695.13x = 213,439,109.44
  5. Step 5: Solve for x
    x = 213,439,109.44/18,695.13
  6. Step 6: Final answer
    x = 11,416.83

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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.