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Finding the Fourth Proportional to 1,891.39, 2,821.43 and 1,614.37

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Solution

The fourth proportional to 1,891.39, 2,821.43 and 1,614.37 is: 2,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.39 : 2,821.43 = 1,614.37 : x
  2. Step 2: Convert to fraction form
    1,891.39/2,821.43 = 1,614.37/x
  3. Step 3: Cross multiply
    1,891.39x = 2,821.43 × 1,614.37
  4. Step 4: Simplify right side
    1,891.39x = 4,554,831.95
  5. Step 5: Solve for x
    x = 4,554,831.95/1,891.39
  6. Step 6: Final answer
    x = 2,408.19

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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.