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Finding the Fourth Proportional to 5,209.06, 7,811.97 and 1,745.50

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Solution

The fourth proportional to 5,209.06, 7,811.97 and 1,745.50 is: 2,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.06 : 7,811.97 = 1,745.50 : x
  2. Step 2: Convert to fraction form
    5,209.06/7,811.97 = 1,745.50/x
  3. Step 3: Cross multiply
    5,209.06x = 7,811.97 × 1,745.50
  4. Step 4: Simplify right side
    5,209.06x = 13,635,793.64
  5. Step 5: Solve for x
    x = 13,635,793.64/5,209.06
  6. Step 6: Final answer
    x = 2,617.71

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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.