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Finding the Fourth Proportional to 2,768.91, 4,153.38 and 820.98

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Solution

The fourth proportional to 2,768.91, 4,153.38 and 820.98 is: 1,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.91 : 4,153.38 = 820.98 : x
  2. Step 2: Convert to fraction form
    2,768.91/4,153.38 = 820.98/x
  3. Step 3: Cross multiply
    2,768.91x = 4,153.38 × 820.98
  4. Step 4: Simplify right side
    2,768.91x = 3,409,841.91
  5. Step 5: Solve for x
    x = 3,409,841.91/2,768.91
  6. Step 6: Final answer
    x = 1,231.47

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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.