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Finding the Fourth Proportional to 3,617, 4,991.48 and 1,961

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Solution

The fourth proportional to 3,617, 4,991.48 and 1,961 is: 2,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617 : 4,991.48 = 1,961 : x
  2. Step 2: Convert to fraction form
    3,617/4,991.48 = 1,961/x
  3. Step 3: Cross multiply
    3,617x = 4,991.48 × 1,961
  4. Step 4: Simplify right side
    3,617x = 9,788,292.28
  5. Step 5: Solve for x
    x = 9,788,292.28/3,617
  6. Step 6: Final answer
    x = 2,706.19

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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.