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Finding the Fourth Proportional to 2,906.82, 4,010.82 and 1,728.18

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Solution

The fourth proportional to 2,906.82, 4,010.82 and 1,728.18 is: 2,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.82 : 4,010.82 = 1,728.18 : x
  2. Step 2: Convert to fraction form
    2,906.82/4,010.82 = 1,728.18/x
  3. Step 3: Cross multiply
    2,906.82x = 4,010.82 × 1,728.18
  4. Step 4: Simplify right side
    2,906.82x = 6,931,418.91
  5. Step 5: Solve for x
    x = 6,931,418.91/2,906.82
  6. Step 6: Final answer
    x = 2,384.54

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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.