Home / 2,142.50-3,205.52-2,137.02

Finding the Fourth Proportional to 2,142.50, 3,205.52 and 2,137.02

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Solution

The fourth proportional to 2,142.50, 3,205.52 and 2,137.02 is: 3,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.50 : 3,205.52 = 2,137.02 : x
  2. Step 2: Convert to fraction form
    2,142.50/3,205.52 = 2,137.02/x
  3. Step 3: Cross multiply
    2,142.50x = 3,205.52 × 2,137.02
  4. Step 4: Simplify right side
    2,142.50x = 6,850,260.35
  5. Step 5: Solve for x
    x = 6,850,260.35/2,142.50
  6. Step 6: Final answer
    x = 3,197.32

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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.