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Finding the Fourth Proportional to 2,705.92, 3,734.10 and 1,643.86

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Solution

The fourth proportional to 2,705.92, 3,734.10 and 1,643.86 is: 2,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.92 : 3,734.10 = 1,643.86 : x
  2. Step 2: Convert to fraction form
    2,705.92/3,734.10 = 1,643.86/x
  3. Step 3: Cross multiply
    2,705.92x = 3,734.10 × 1,643.86
  4. Step 4: Simplify right side
    2,705.92x = 6,138,337.63
  5. Step 5: Solve for x
    x = 6,138,337.63/2,705.92
  6. Step 6: Final answer
    x = 2,268.48

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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.