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Finding the Fourth Proportional to 2,690.42, 3,710.34 and 1,694.12

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Solution

The fourth proportional to 2,690.42, 3,710.34 and 1,694.12 is: 2,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.42 : 3,710.34 = 1,694.12 : x
  2. Step 2: Convert to fraction form
    2,690.42/3,710.34 = 1,694.12/x
  3. Step 3: Cross multiply
    2,690.42x = 3,710.34 × 1,694.12
  4. Step 4: Simplify right side
    2,690.42x = 6,285,742.65
  5. Step 5: Solve for x
    x = 6,285,742.65/2,690.42
  6. Step 6: Final answer
    x = 2,336.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.