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Finding the Fourth Proportional to 3,830.21, 5,748.92 and 1,883.81

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Solution

The fourth proportional to 3,830.21, 5,748.92 and 1,883.81 is: 2,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.21 : 5,748.92 = 1,883.81 : x
  2. Step 2: Convert to fraction form
    3,830.21/5,748.92 = 1,883.81/x
  3. Step 3: Cross multiply
    3,830.21x = 5,748.92 × 1,883.81
  4. Step 4: Simplify right side
    3,830.21x = 10,829,872.99
  5. Step 5: Solve for x
    x = 10,829,872.99/3,830.21
  6. Step 6: Final answer
    x = 2,827.49

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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.