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Finding the Fourth Proportional to 20,767.86, 31,149 and 7,618.50

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Solution

The fourth proportional to 20,767.86, 31,149 and 7,618.50 is: 11,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.86 : 31,149 = 7,618.50 : x
  2. Step 2: Convert to fraction form
    20,767.86/31,149 = 7,618.50/x
  3. Step 3: Cross multiply
    20,767.86x = 31,149 × 7,618.50
  4. Step 4: Simplify right side
    20,767.86x = 237,308,656.50
  5. Step 5: Solve for x
    x = 237,308,656.50/20,767.86
  6. Step 6: Final answer
    x = 11,426.73

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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.