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Finding the Fourth Proportional to 1,381.51, 1,906.94 and 961.88

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Solution

The fourth proportional to 1,381.51, 1,906.94 and 961.88 is: 1,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.51 : 1,906.94 = 961.88 : x
  2. Step 2: Convert to fraction form
    1,381.51/1,906.94 = 961.88/x
  3. Step 3: Cross multiply
    1,381.51x = 1,906.94 × 961.88
  4. Step 4: Simplify right side
    1,381.51x = 1,834,240.32
  5. Step 5: Solve for x
    x = 1,834,240.32/1,381.51
  6. Step 6: Final answer
    x = 1,327.71

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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.