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Finding the Fourth Proportional to 4,219.94, 5,822.10 and 2,729.75

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Solution

The fourth proportional to 4,219.94, 5,822.10 and 2,729.75 is: 3,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.94 : 5,822.10 = 2,729.75 : x
  2. Step 2: Convert to fraction form
    4,219.94/5,822.10 = 2,729.75/x
  3. Step 3: Cross multiply
    4,219.94x = 5,822.10 × 2,729.75
  4. Step 4: Simplify right side
    4,219.94x = 15,892,848.36
  5. Step 5: Solve for x
    x = 15,892,848.36/4,219.94
  6. Step 6: Final answer
    x = 3,766.13

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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.