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Finding the Fourth Proportional to 2,845, 3,923.94 and 1,962.28

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Solution

The fourth proportional to 2,845, 3,923.94 and 1,962.28 is: 2,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845 : 3,923.94 = 1,962.28 : x
  2. Step 2: Convert to fraction form
    2,845/3,923.94 = 1,962.28/x
  3. Step 3: Cross multiply
    2,845x = 3,923.94 × 1,962.28
  4. Step 4: Simplify right side
    2,845x = 7,699,868.98
  5. Step 5: Solve for x
    x = 7,699,868.98/2,845
  6. Step 6: Final answer
    x = 2,706.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.