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Finding the Fourth Proportional to 2,637.70, 3,963.94 and 1,821.22

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Solution

The fourth proportional to 2,637.70, 3,963.94 and 1,821.22 is: 2,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.70 : 3,963.94 = 1,821.22 : x
  2. Step 2: Convert to fraction form
    2,637.70/3,963.94 = 1,821.22/x
  3. Step 3: Cross multiply
    2,637.70x = 3,963.94 × 1,821.22
  4. Step 4: Simplify right side
    2,637.70x = 7,219,192.34
  5. Step 5: Solve for x
    x = 7,219,192.34/2,637.70
  6. Step 6: Final answer
    x = 2,736.93

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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.