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Finding the Fourth Proportional to 2,810.26, 3,896.86 and 2,716.86

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Solution

The fourth proportional to 2,810.26, 3,896.86 and 2,716.86 is: 3,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.26 : 3,896.86 = 2,716.86 : x
  2. Step 2: Convert to fraction form
    2,810.26/3,896.86 = 2,716.86/x
  3. Step 3: Cross multiply
    2,810.26x = 3,896.86 × 2,716.86
  4. Step 4: Simplify right side
    2,810.26x = 10,587,223.06
  5. Step 5: Solve for x
    x = 10,587,223.06/2,810.26
  6. Step 6: Final answer
    x = 3,767.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.