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Finding the Fourth Proportional to 2,197.78, 3,297.66 and 965.55

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Solution

The fourth proportional to 2,197.78, 3,297.66 and 965.55 is: 1,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.78 : 3,297.66 = 965.55 : x
  2. Step 2: Convert to fraction form
    2,197.78/3,297.66 = 965.55/x
  3. Step 3: Cross multiply
    2,197.78x = 3,297.66 × 965.55
  4. Step 4: Simplify right side
    2,197.78x = 3,184,041.97
  5. Step 5: Solve for x
    x = 3,184,041.97/2,197.78
  6. Step 6: Final answer
    x = 1,448.75

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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.