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Finding the Fourth Proportional to 2,768.70, 4,153.74 and 820.91

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Solution

The fourth proportional to 2,768.70, 4,153.74 and 820.91 is: 1,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.70 : 4,153.74 = 820.91 : x
  2. Step 2: Convert to fraction form
    2,768.70/4,153.74 = 820.91/x
  3. Step 3: Cross multiply
    2,768.70x = 4,153.74 × 820.91
  4. Step 4: Simplify right side
    2,768.70x = 3,409,825.93
  5. Step 5: Solve for x
    x = 3,409,825.93/2,768.70
  6. Step 6: Final answer
    x = 1,231.56

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1.5x scale

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.