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Finding the Fourth Proportional to 2,120.70, 3,177.58 and 2,039.70

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Solution

The fourth proportional to 2,120.70, 3,177.58 and 2,039.70 is: 3,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.70 : 3,177.58 = 2,039.70 : x
  2. Step 2: Convert to fraction form
    2,120.70/3,177.58 = 2,039.70/x
  3. Step 3: Cross multiply
    2,120.70x = 3,177.58 × 2,039.70
  4. Step 4: Simplify right side
    2,120.70x = 6,481,309.93
  5. Step 5: Solve for x
    x = 6,481,309.93/2,120.70
  6. Step 6: Final answer
    x = 3,056.21

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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.