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Finding the Fourth Proportional to 2,772.70, 3,821.76 and 1,964.12

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Solution

The fourth proportional to 2,772.70, 3,821.76 and 1,964.12 is: 2,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.70 : 3,821.76 = 1,964.12 : x
  2. Step 2: Convert to fraction form
    2,772.70/3,821.76 = 1,964.12/x
  3. Step 3: Cross multiply
    2,772.70x = 3,821.76 × 1,964.12
  4. Step 4: Simplify right side
    2,772.70x = 7,506,376.14
  5. Step 5: Solve for x
    x = 7,506,376.14/2,772.70
  6. Step 6: Final answer
    x = 2,707.25

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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.