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Finding the Fourth Proportional to 2,936, 4,051.68 and 1,694

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Solution

The fourth proportional to 2,936, 4,051.68 and 1,694 is: 2,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936 : 4,051.68 = 1,694 : x
  2. Step 2: Convert to fraction form
    2,936/4,051.68 = 1,694/x
  3. Step 3: Cross multiply
    2,936x = 4,051.68 × 1,694
  4. Step 4: Simplify right side
    2,936x = 6,863,545.92
  5. Step 5: Solve for x
    x = 6,863,545.92/2,936
  6. Step 6: Final answer
    x = 2,337.72

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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.