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Finding the Fourth Proportional to 2,137.55, 3,200.86 and 1,893.34

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Solution

The fourth proportional to 2,137.55, 3,200.86 and 1,893.34 is: 2,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.55 : 3,200.86 = 1,893.34 : x
  2. Step 2: Convert to fraction form
    2,137.55/3,200.86 = 1,893.34/x
  3. Step 3: Cross multiply
    2,137.55x = 3,200.86 × 1,893.34
  4. Step 4: Simplify right side
    2,137.55x = 6,060,290.80
  5. Step 5: Solve for x
    x = 6,060,290.80/2,137.55
  6. Step 6: Final answer
    x = 2,835.16

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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.