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Finding the Fourth Proportional to 2,072.08, 3,108.12 and 685.54

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Solution

The fourth proportional to 2,072.08, 3,108.12 and 685.54 is: 1,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.08 : 3,108.12 = 685.54 : x
  2. Step 2: Convert to fraction form
    2,072.08/3,108.12 = 685.54/x
  3. Step 3: Cross multiply
    2,072.08x = 3,108.12 × 685.54
  4. Step 4: Simplify right side
    2,072.08x = 2,130,740.58
  5. Step 5: Solve for x
    x = 2,130,740.58/2,072.08
  6. Step 6: Final answer
    x = 1,028.31

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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.