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Finding the Fourth Proportional to 2,634.54, 3,638.15 and 2,281.38

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Solution

The fourth proportional to 2,634.54, 3,638.15 and 2,281.38 is: 3,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.54 : 3,638.15 = 2,281.38 : x
  2. Step 2: Convert to fraction form
    2,634.54/3,638.15 = 2,281.38/x
  3. Step 3: Cross multiply
    2,634.54x = 3,638.15 × 2,281.38
  4. Step 4: Simplify right side
    2,634.54x = 8,300,002.65
  5. Step 5: Solve for x
    x = 8,300,002.65/2,634.54
  6. Step 6: Final answer
    x = 3,150.46

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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.