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Finding the Fourth Proportional to 2,764.20, 3,999.45 and 2,764.20

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Solution

The fourth proportional to 2,764.20, 3,999.45 and 2,764.20 is: 3,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.20 : 3,999.45 = 2,764.20 : x
  2. Step 2: Convert to fraction form
    2,764.20/3,999.45 = 2,764.20/x
  3. Step 3: Cross multiply
    2,764.20x = 3,999.45 × 2,764.20
  4. Step 4: Simplify right side
    2,764.20x = 11,055,279.69
  5. Step 5: Solve for x
    x = 11,055,279.69/2,764.20
  6. Step 6: Final answer
    x = 3,999.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.