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Finding the Fourth Proportional to 2,745.75, 4,117.41 and 1,973.01

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Solution

The fourth proportional to 2,745.75, 4,117.41 and 1,973.01 is: 2,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.75 : 4,117.41 = 1,973.01 : x
  2. Step 2: Convert to fraction form
    2,745.75/4,117.41 = 1,973.01/x
  3. Step 3: Cross multiply
    2,745.75x = 4,117.41 × 1,973.01
  4. Step 4: Simplify right side
    2,745.75x = 8,123,706.54
  5. Step 5: Solve for x
    x = 8,123,706.54/2,745.75
  6. Step 6: Final answer
    x = 2,958.64

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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.