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Finding the Fourth Proportional to 3,763.92, 5,643.96 and 1,297.92

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Solution

The fourth proportional to 3,763.92, 5,643.96 and 1,297.92 is: 1,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.92 : 5,643.96 = 1,297.92 : x
  2. Step 2: Convert to fraction form
    3,763.92/5,643.96 = 1,297.92/x
  3. Step 3: Cross multiply
    3,763.92x = 5,643.96 × 1,297.92
  4. Step 4: Simplify right side
    3,763.92x = 7,325,408.56
  5. Step 5: Solve for x
    x = 7,325,408.56/3,763.92
  6. Step 6: Final answer
    x = 1,946.22

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1.5x scale

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.