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Finding the Fourth Proportional to 3,093.71, 4,640.61 and 1,706.78

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Solution

The fourth proportional to 3,093.71, 4,640.61 and 1,706.78 is: 2,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.71 : 4,640.61 = 1,706.78 : x
  2. Step 2: Convert to fraction form
    3,093.71/4,640.61 = 1,706.78/x
  3. Step 3: Cross multiply
    3,093.71x = 4,640.61 × 1,706.78
  4. Step 4: Simplify right side
    3,093.71x = 7,920,477.13
  5. Step 5: Solve for x
    x = 7,920,477.13/3,093.71
  6. Step 6: Final answer
    x = 2,560.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.