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Finding the Fourth Proportional to 2,638.02, 3,641.02 and 2,195.48

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Solution

The fourth proportional to 2,638.02, 3,641.02 and 2,195.48 is: 3,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.02 : 3,641.02 = 2,195.48 : x
  2. Step 2: Convert to fraction form
    2,638.02/3,641.02 = 2,195.48/x
  3. Step 3: Cross multiply
    2,638.02x = 3,641.02 × 2,195.48
  4. Step 4: Simplify right side
    2,638.02x = 7,993,786.59
  5. Step 5: Solve for x
    x = 7,993,786.59/2,638.02
  6. Step 6: Final answer
    x = 3,030.22

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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.