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Finding the Fourth Proportional to 2,809.46, 4,214.19 and 861.66

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Solution

The fourth proportional to 2,809.46, 4,214.19 and 861.66 is: 1,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.46 : 4,214.19 = 861.66 : x
  2. Step 2: Convert to fraction form
    2,809.46/4,214.19 = 861.66/x
  3. Step 3: Cross multiply
    2,809.46x = 4,214.19 × 861.66
  4. Step 4: Simplify right side
    2,809.46x = 3,631,198.96
  5. Step 5: Solve for x
    x = 3,631,198.96/2,809.46
  6. Step 6: Final answer
    x = 1,292.49

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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.