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Finding the Fourth Proportional to 2,871.06, 3,961.74 and 1,611.91

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Solution

The fourth proportional to 2,871.06, 3,961.74 and 1,611.91 is: 2,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.06 : 3,961.74 = 1,611.91 : x
  2. Step 2: Convert to fraction form
    2,871.06/3,961.74 = 1,611.91/x
  3. Step 3: Cross multiply
    2,871.06x = 3,961.74 × 1,611.91
  4. Step 4: Simplify right side
    2,871.06x = 6,385,968.32
  5. Step 5: Solve for x
    x = 6,385,968.32/2,871.06
  6. Step 6: Final answer
    x = 2,224.25

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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.