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Finding the Fourth Proportional to 2,760.21, 3,807.41 and 1,972.89

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Solution

The fourth proportional to 2,760.21, 3,807.41 and 1,972.89 is: 2,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.21 : 3,807.41 = 1,972.89 : x
  2. Step 2: Convert to fraction form
    2,760.21/3,807.41 = 1,972.89/x
  3. Step 3: Cross multiply
    2,760.21x = 3,807.41 × 1,972.89
  4. Step 4: Simplify right side
    2,760.21x = 7,511,591.25
  5. Step 5: Solve for x
    x = 7,511,591.25/2,760.21
  6. Step 6: Final answer
    x = 2,721.38

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Double scale
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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.