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Finding the Fourth Proportional to 3,072.58, 4,610.58 and 1,842.33

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Solution

The fourth proportional to 3,072.58, 4,610.58 and 1,842.33 is: 2,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.58 : 4,610.58 = 1,842.33 : x
  2. Step 2: Convert to fraction form
    3,072.58/4,610.58 = 1,842.33/x
  3. Step 3: Cross multiply
    3,072.58x = 4,610.58 × 1,842.33
  4. Step 4: Simplify right side
    3,072.58x = 8,494,209.85
  5. Step 5: Solve for x
    x = 8,494,209.85/3,072.58
  6. Step 6: Final answer
    x = 2,764.52

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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.