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Finding the Fourth Proportional to 1,694.32, 2,338 and 985.93

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Solution

The fourth proportional to 1,694.32, 2,338 and 985.93 is: 1,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.32 : 2,338 = 985.93 : x
  2. Step 2: Convert to fraction form
    1,694.32/2,338 = 985.93/x
  3. Step 3: Cross multiply
    1,694.32x = 2,338 × 985.93
  4. Step 4: Simplify right side
    1,694.32x = 2,305,104.34
  5. Step 5: Solve for x
    x = 2,305,104.34/1,694.32
  6. Step 6: Final answer
    x = 1,360.49

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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.