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Finding the Fourth Proportional to 5,272.56, 7,909.65 and 1,809

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Solution

The fourth proportional to 5,272.56, 7,909.65 and 1,809 is: 2,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.56 : 7,909.65 = 1,809 : x
  2. Step 2: Convert to fraction form
    5,272.56/7,909.65 = 1,809/x
  3. Step 3: Cross multiply
    5,272.56x = 7,909.65 × 1,809
  4. Step 4: Simplify right side
    5,272.56x = 14,308,556.85
  5. Step 5: Solve for x
    x = 14,308,556.85/5,272.56
  6. Step 6: Final answer
    x = 2,713.78

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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.