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Finding the Fourth Proportional to 3,917, 5,405.70 and 2,261

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Solution

The fourth proportional to 3,917, 5,405.70 and 2,261 is: 3,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917 : 5,405.70 = 2,261 : x
  2. Step 2: Convert to fraction form
    3,917/5,405.70 = 2,261/x
  3. Step 3: Cross multiply
    3,917x = 5,405.70 × 2,261
  4. Step 4: Simplify right side
    3,917x = 12,222,287.70
  5. Step 5: Solve for x
    x = 12,222,287.70/3,917
  6. Step 6: Final answer
    x = 3,120.32

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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.