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Finding the Fourth Proportional to 2,850.21, 4,274.82 and 901.98

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Solution

The fourth proportional to 2,850.21, 4,274.82 and 901.98 is: 1,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.21 : 4,274.82 = 901.98 : x
  2. Step 2: Convert to fraction form
    2,850.21/4,274.82 = 901.98/x
  3. Step 3: Cross multiply
    2,850.21x = 4,274.82 × 901.98
  4. Step 4: Simplify right side
    2,850.21x = 3,855,802.14
  5. Step 5: Solve for x
    x = 3,855,802.14/2,850.21
  6. Step 6: Final answer
    x = 1,352.81

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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.