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Finding the Fourth Proportional to 5,696.97, 7,856.91 and 3,706.80

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Solution

The fourth proportional to 5,696.97, 7,856.91 and 3,706.80 is: 5,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.97 : 7,856.91 = 3,706.80 : x
  2. Step 2: Convert to fraction form
    5,696.97/7,856.91 = 3,706.80/x
  3. Step 3: Cross multiply
    5,696.97x = 7,856.91 × 3,706.80
  4. Step 4: Simplify right side
    5,696.97x = 29,123,993.99
  5. Step 5: Solve for x
    x = 29,123,993.99/5,696.97
  6. Step 6: Final answer
    x = 5,112.19

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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.