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Finding the Fourth Proportional to 2,112.44, 3,153.82 and 1,905.08

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Solution

The fourth proportional to 2,112.44, 3,153.82 and 1,905.08 is: 2,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.44 : 3,153.82 = 1,905.08 : x
  2. Step 2: Convert to fraction form
    2,112.44/3,153.82 = 1,905.08/x
  3. Step 3: Cross multiply
    2,112.44x = 3,153.82 × 1,905.08
  4. Step 4: Simplify right side
    2,112.44x = 6,008,279.41
  5. Step 5: Solve for x
    x = 6,008,279.41/2,112.44
  6. Step 6: Final answer
    x = 2,844.24

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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.