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Finding the Fourth Proportional to 4,765.68, 7,149.47 and 1,645.80

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Solution

The fourth proportional to 4,765.68, 7,149.47 and 1,645.80 is: 2,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.68 : 7,149.47 = 1,645.80 : x
  2. Step 2: Convert to fraction form
    4,765.68/7,149.47 = 1,645.80/x
  3. Step 3: Cross multiply
    4,765.68x = 7,149.47 × 1,645.80
  4. Step 4: Simplify right side
    4,765.68x = 11,766,604.93
  5. Step 5: Solve for x
    x = 11,766,604.93/4,765.68
  6. Step 6: Final answer
    x = 2,469.03

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1.5x scale

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.