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Finding the Fourth Proportional to 2,114.44, 3,169.10 and 1,858.44

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Solution

The fourth proportional to 2,114.44, 3,169.10 and 1,858.44 is: 2,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.44 : 3,169.10 = 1,858.44 : x
  2. Step 2: Convert to fraction form
    2,114.44/3,169.10 = 1,858.44/x
  3. Step 3: Cross multiply
    2,114.44x = 3,169.10 × 1,858.44
  4. Step 4: Simplify right side
    2,114.44x = 5,889,582.20
  5. Step 5: Solve for x
    x = 5,889,582.20/2,114.44
  6. Step 6: Final answer
    x = 2,785.41

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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.