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Finding the Fourth Proportional to 3,868.43, 5,805.14 and 1,403.03

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Solution

The fourth proportional to 3,868.43, 5,805.14 and 1,403.03 is: 2,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.43 : 5,805.14 = 1,403.03 : x
  2. Step 2: Convert to fraction form
    3,868.43/5,805.14 = 1,403.03/x
  3. Step 3: Cross multiply
    3,868.43x = 5,805.14 × 1,403.03
  4. Step 4: Simplify right side
    3,868.43x = 8,144,749.53
  5. Step 5: Solve for x
    x = 8,144,749.53/3,868.43
  6. Step 6: Final answer
    x = 2,105.44

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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.