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Finding the Fourth Proportional to 1,739.60, 2,611.80 and 1,091.60

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Solution

The fourth proportional to 1,739.60, 2,611.80 and 1,091.60 is: 1,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.60 : 2,611.80 = 1,091.60 : x
  2. Step 2: Convert to fraction form
    1,739.60/2,611.80 = 1,091.60/x
  3. Step 3: Cross multiply
    1,739.60x = 2,611.80 × 1,091.60
  4. Step 4: Simplify right side
    1,739.60x = 2,851,040.88
  5. Step 5: Solve for x
    x = 2,851,040.88/1,739.60
  6. Step 6: Final answer
    x = 1,638.91

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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.