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Finding the Fourth Proportional to 2,691, 3,714 and 1,643.67

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Solution

The fourth proportional to 2,691, 3,714 and 1,643.67 is: 2,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691 : 3,714 = 1,643.67 : x
  2. Step 2: Convert to fraction form
    2,691/3,714 = 1,643.67/x
  3. Step 3: Cross multiply
    2,691x = 3,714 × 1,643.67
  4. Step 4: Simplify right side
    2,691x = 6,104,590.38
  5. Step 5: Solve for x
    x = 6,104,590.38/2,691
  6. Step 6: Final answer
    x = 2,268.52

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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.