Home / 2,120.53-3,181.41-659.70

Finding the Fourth Proportional to 2,120.53, 3,181.41 and 659.70

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Solution

The fourth proportional to 2,120.53, 3,181.41 and 659.70 is: 989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.53 : 3,181.41 = 659.70 : x
  2. Step 2: Convert to fraction form
    2,120.53/3,181.41 = 659.70/x
  3. Step 3: Cross multiply
    2,120.53x = 3,181.41 × 659.70
  4. Step 4: Simplify right side
    2,120.53x = 2,098,776.18
  5. Step 5: Solve for x
    x = 2,098,776.18/2,120.53
  6. Step 6: Final answer
    x = 989.74

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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.