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Finding the Fourth Proportional to 3,790.98, 5,230.98 and 2,112.24

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Solution

The fourth proportional to 3,790.98, 5,230.98 and 2,112.24 is: 2,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.98 : 5,230.98 = 2,112.24 : x
  2. Step 2: Convert to fraction form
    3,790.98/5,230.98 = 2,112.24/x
  3. Step 3: Cross multiply
    3,790.98x = 5,230.98 × 2,112.24
  4. Step 4: Simplify right side
    3,790.98x = 11,049,085.20
  5. Step 5: Solve for x
    x = 11,049,085.20/3,790.98
  6. Step 6: Final answer
    x = 2,914.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.