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Finding the Fourth Proportional to 1,408.08, 1,943.78 and 936.81

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Solution

The fourth proportional to 1,408.08, 1,943.78 and 936.81 is: 1,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.08 : 1,943.78 = 936.81 : x
  2. Step 2: Convert to fraction form
    1,408.08/1,943.78 = 936.81/x
  3. Step 3: Cross multiply
    1,408.08x = 1,943.78 × 936.81
  4. Step 4: Simplify right side
    1,408.08x = 1,820,952.54
  5. Step 5: Solve for x
    x = 1,820,952.54/1,408.08
  6. Step 6: Final answer
    x = 1,293.22

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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.