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Finding the Fourth Proportional to 2,706.59, 3,734.51 and 1,644.90

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Solution

The fourth proportional to 2,706.59, 3,734.51 and 1,644.90 is: 2,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.59 : 3,734.51 = 1,644.90 : x
  2. Step 2: Convert to fraction form
    2,706.59/3,734.51 = 1,644.90/x
  3. Step 3: Cross multiply
    2,706.59x = 3,734.51 × 1,644.90
  4. Step 4: Simplify right side
    2,706.59x = 6,142,899.61
  5. Step 5: Solve for x
    x = 6,142,899.61/2,706.59
  6. Step 6: Final answer
    x = 2,269.61

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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.