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Finding the Fourth Proportional to 3,763.89, 5,645.43 and 1,298.43

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Solution

The fourth proportional to 3,763.89, 5,645.43 and 1,298.43 is: 1,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.89 : 5,645.43 = 1,298.43 : x
  2. Step 2: Convert to fraction form
    3,763.89/5,645.43 = 1,298.43/x
  3. Step 3: Cross multiply
    3,763.89x = 5,645.43 × 1,298.43
  4. Step 4: Simplify right side
    3,763.89x = 7,330,195.67
  5. Step 5: Solve for x
    x = 7,330,195.67/3,763.89
  6. Step 6: Final answer
    x = 1,947.51

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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.