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Finding the Fourth Proportional to 1,694, 2,338.68 and 1,279.28

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Solution

The fourth proportional to 1,694, 2,338.68 and 1,279.28 is: 1,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694 : 2,338.68 = 1,279.28 : x
  2. Step 2: Convert to fraction form
    1,694/2,338.68 = 1,279.28/x
  3. Step 3: Cross multiply
    1,694x = 2,338.68 × 1,279.28
  4. Step 4: Simplify right side
    1,694x = 2,991,826.55
  5. Step 5: Solve for x
    x = 2,991,826.55/1,694
  6. Step 6: Final answer
    x = 1,766.13

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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.