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Finding the Fourth Proportional to 2,906.44, 4,011.42 and 1,728.16

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Solution

The fourth proportional to 2,906.44, 4,011.42 and 1,728.16 is: 2,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.44 : 4,011.42 = 1,728.16 : x
  2. Step 2: Convert to fraction form
    2,906.44/4,011.42 = 1,728.16/x
  3. Step 3: Cross multiply
    2,906.44x = 4,011.42 × 1,728.16
  4. Step 4: Simplify right side
    2,906.44x = 6,932,375.59
  5. Step 5: Solve for x
    x = 6,932,375.59/2,906.44
  6. Step 6: Final answer
    x = 2,385.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.