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Finding the Fourth Proportional to 2,861.66, 3,951 and 2,197.34

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Solution

The fourth proportional to 2,861.66, 3,951 and 2,197.34 is: 3,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.66 : 3,951 = 2,197.34 : x
  2. Step 2: Convert to fraction form
    2,861.66/3,951 = 2,197.34/x
  3. Step 3: Cross multiply
    2,861.66x = 3,951 × 2,197.34
  4. Step 4: Simplify right side
    2,861.66x = 8,681,690.34
  5. Step 5: Solve for x
    x = 8,681,690.34/2,861.66
  6. Step 6: Final answer
    x = 3,033.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.