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Finding the Fourth Proportional to 2,681.62, 4,021.81 and 733.98

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Solution

The fourth proportional to 2,681.62, 4,021.81 and 733.98 is: 1,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.62 : 4,021.81 = 733.98 : x
  2. Step 2: Convert to fraction form
    2,681.62/4,021.81 = 733.98/x
  3. Step 3: Cross multiply
    2,681.62x = 4,021.81 × 733.98
  4. Step 4: Simplify right side
    2,681.62x = 2,951,928.10
  5. Step 5: Solve for x
    x = 2,951,928.10/2,681.62
  6. Step 6: Final answer
    x = 1,100.80

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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.