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Finding the Fourth Proportional to 5,469.66, 8,205.80 and 1,771.90

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Solution

The fourth proportional to 5,469.66, 8,205.80 and 1,771.90 is: 2,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.66 : 8,205.80 = 1,771.90 : x
  2. Step 2: Convert to fraction form
    5,469.66/8,205.80 = 1,771.90/x
  3. Step 3: Cross multiply
    5,469.66x = 8,205.80 × 1,771.90
  4. Step 4: Simplify right side
    5,469.66x = 14,539,857.02
  5. Step 5: Solve for x
    x = 14,539,857.02/5,469.66
  6. Step 6: Final answer
    x = 2,658.27

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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.