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Finding the Fourth Proportional to 3,908.56, 5,861.48 and 1,310.80

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Solution

The fourth proportional to 3,908.56, 5,861.48 and 1,310.80 is: 1,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.56 : 5,861.48 = 1,310.80 : x
  2. Step 2: Convert to fraction form
    3,908.56/5,861.48 = 1,310.80/x
  3. Step 3: Cross multiply
    3,908.56x = 5,861.48 × 1,310.80
  4. Step 4: Simplify right side
    3,908.56x = 7,683,227.98
  5. Step 5: Solve for x
    x = 7,683,227.98/3,908.56
  6. Step 6: Final answer
    x = 1,965.74

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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.