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Finding the Fourth Proportional to 1,908.78, 2,857.41 and 1,726.26

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Solution

The fourth proportional to 1,908.78, 2,857.41 and 1,726.26 is: 2,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.78 : 2,857.41 = 1,726.26 : x
  2. Step 2: Convert to fraction form
    1,908.78/2,857.41 = 1,726.26/x
  3. Step 3: Cross multiply
    1,908.78x = 2,857.41 × 1,726.26
  4. Step 4: Simplify right side
    1,908.78x = 4,932,632.59
  5. Step 5: Solve for x
    x = 4,932,632.59/1,908.78
  6. Step 6: Final answer
    x = 2,584.18

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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.