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Finding the Fourth Proportional to 2,113.75, 3,172.07 and 745.75

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Solution

The fourth proportional to 2,113.75, 3,172.07 and 745.75 is: 1,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.75 : 3,172.07 = 745.75 : x
  2. Step 2: Convert to fraction form
    2,113.75/3,172.07 = 745.75/x
  3. Step 3: Cross multiply
    2,113.75x = 3,172.07 × 745.75
  4. Step 4: Simplify right side
    2,113.75x = 2,365,571.20
  5. Step 5: Solve for x
    x = 2,365,571.20/2,113.75
  6. Step 6: Final answer
    x = 1,119.13

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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.