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Finding the Fourth Proportional to 3,830.85, 5,745 and 1,638.99

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Solution

The fourth proportional to 3,830.85, 5,745 and 1,638.99 is: 2,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.85 : 5,745 = 1,638.99 : x
  2. Step 2: Convert to fraction form
    3,830.85/5,745 = 1,638.99/x
  3. Step 3: Cross multiply
    3,830.85x = 5,745 × 1,638.99
  4. Step 4: Simplify right side
    3,830.85x = 9,415,997.55
  5. Step 5: Solve for x
    x = 9,415,997.55/3,830.85
  6. Step 6: Final answer
    x = 2,457.94

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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.