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Finding the Fourth Proportional to 2,012.10, 3,018.48 and 779.41

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Solution

The fourth proportional to 2,012.10, 3,018.48 and 779.41 is: 1,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.10 : 3,018.48 = 779.41 : x
  2. Step 2: Convert to fraction form
    2,012.10/3,018.48 = 779.41/x
  3. Step 3: Cross multiply
    2,012.10x = 3,018.48 × 779.41
  4. Step 4: Simplify right side
    2,012.10x = 2,352,633.50
  5. Step 5: Solve for x
    x = 2,352,633.50/2,012.10
  6. Step 6: Final answer
    x = 1,169.24

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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.