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Finding the Fourth Proportional to 2,146.20, 3,219.90 and 914.20

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Solution

The fourth proportional to 2,146.20, 3,219.90 and 914.20 is: 1,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.20 : 3,219.90 = 914.20 : x
  2. Step 2: Convert to fraction form
    2,146.20/3,219.90 = 914.20/x
  3. Step 3: Cross multiply
    2,146.20x = 3,219.90 × 914.20
  4. Step 4: Simplify right side
    2,146.20x = 2,943,632.58
  5. Step 5: Solve for x
    x = 2,943,632.58/2,146.20
  6. Step 6: Final answer
    x = 1,371.56

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Double scale
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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.