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Finding the Fourth Proportional to 2,138.40, 3,196.80 and 2,116.80

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Solution

The fourth proportional to 2,138.40, 3,196.80 and 2,116.80 is: 3,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.40 : 3,196.80 = 2,116.80 : x
  2. Step 2: Convert to fraction form
    2,138.40/3,196.80 = 2,116.80/x
  3. Step 3: Cross multiply
    2,138.40x = 3,196.80 × 2,116.80
  4. Step 4: Simplify right side
    2,138.40x = 6,766,986.24
  5. Step 5: Solve for x
    x = 6,766,986.24/2,138.40
  6. Step 6: Final answer
    x = 3,164.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.