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Finding the Fourth Proportional to 6,641.85, 9,961.66 and 1,961.77

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Solution

The fourth proportional to 6,641.85, 9,961.66 and 1,961.77 is: 2,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.85 : 9,961.66 = 1,961.77 : x
  2. Step 2: Convert to fraction form
    6,641.85/9,961.66 = 1,961.77/x
  3. Step 3: Cross multiply
    6,641.85x = 9,961.66 × 1,961.77
  4. Step 4: Simplify right side
    6,641.85x = 19,542,485.74
  5. Step 5: Solve for x
    x = 19,542,485.74/6,641.85
  6. Step 6: Final answer
    x = 2,942.33

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Double scale
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Similar ratio
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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.