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Finding the Fourth Proportional to 2,751.88, 3,796.26 and 1,821.16

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Solution

The fourth proportional to 2,751.88, 3,796.26 and 1,821.16 is: 2,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.88 : 3,796.26 = 1,821.16 : x
  2. Step 2: Convert to fraction form
    2,751.88/3,796.26 = 1,821.16/x
  3. Step 3: Cross multiply
    2,751.88x = 3,796.26 × 1,821.16
  4. Step 4: Simplify right side
    2,751.88x = 6,913,596.86
  5. Step 5: Solve for x
    x = 6,913,596.86/2,751.88
  6. Step 6: Final answer
    x = 2,512.32

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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.