Home / 1,611.67-2,224.29-949.09

Finding the Fourth Proportional to 1,611.67, 2,224.29 and 949.09

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Solution

The fourth proportional to 1,611.67, 2,224.29 and 949.09 is: 1,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.67 : 2,224.29 = 949.09 : x
  2. Step 2: Convert to fraction form
    1,611.67/2,224.29 = 949.09/x
  3. Step 3: Cross multiply
    1,611.67x = 2,224.29 × 949.09
  4. Step 4: Simplify right side
    1,611.67x = 2,111,051.40
  5. Step 5: Solve for x
    x = 2,111,051.40/1,611.67
  6. Step 6: Final answer
    x = 1,309.85

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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.