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Finding the Fourth Proportional to 2,706.14, 3,734.73 and 1,643.66

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Solution

The fourth proportional to 2,706.14, 3,734.73 and 1,643.66 is: 2,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.14 : 3,734.73 = 1,643.66 : x
  2. Step 2: Convert to fraction form
    2,706.14/3,734.73 = 1,643.66/x
  3. Step 3: Cross multiply
    2,706.14x = 3,734.73 × 1,643.66
  4. Step 4: Simplify right side
    2,706.14x = 6,138,621.64
  5. Step 5: Solve for x
    x = 6,138,621.64/2,706.14
  6. Step 6: Final answer
    x = 2,268.40

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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.