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Finding the Fourth Proportional to 3,219.74, 4,443.93 and 1,961.21

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Solution

The fourth proportional to 3,219.74, 4,443.93 and 1,961.21 is: 2,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.74 : 4,443.93 = 1,961.21 : x
  2. Step 2: Convert to fraction form
    3,219.74/4,443.93 = 1,961.21/x
  3. Step 3: Cross multiply
    3,219.74x = 4,443.93 × 1,961.21
  4. Step 4: Simplify right side
    3,219.74x = 8,715,457.74
  5. Step 5: Solve for x
    x = 8,715,457.74/3,219.74
  6. Step 6: Final answer
    x = 2,706.89

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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.