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Finding the Fourth Proportional to 6,469.97, 9,702.90 and 2,771.21

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Solution

The fourth proportional to 6,469.97, 9,702.90 and 2,771.21 is: 4,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.97 : 9,702.90 = 2,771.21 : x
  2. Step 2: Convert to fraction form
    6,469.97/9,702.90 = 2,771.21/x
  3. Step 3: Cross multiply
    6,469.97x = 9,702.90 × 2,771.21
  4. Step 4: Simplify right side
    6,469.97x = 26,888,797.77
  5. Step 5: Solve for x
    x = 26,888,797.77/6,469.97
  6. Step 6: Final answer
    x = 4,155.94

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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.