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Finding the Fourth Proportional to 2,059.74, 2,842.38 and 1,220.94

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Solution

The fourth proportional to 2,059.74, 2,842.38 and 1,220.94 is: 1,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.74 : 2,842.38 = 1,220.94 : x
  2. Step 2: Convert to fraction form
    2,059.74/2,842.38 = 1,220.94/x
  3. Step 3: Cross multiply
    2,059.74x = 2,842.38 × 1,220.94
  4. Step 4: Simplify right side
    2,059.74x = 3,470,375.44
  5. Step 5: Solve for x
    x = 3,470,375.44/2,059.74
  6. Step 6: Final answer
    x = 1,684.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.