Home / 2,771.30-3,823.34-1,776.42

Finding the Fourth Proportional to 2,771.30, 3,823.34 and 1,776.42

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Solution

The fourth proportional to 2,771.30, 3,823.34 and 1,776.42 is: 2,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.30 : 3,823.34 = 1,776.42 : x
  2. Step 2: Convert to fraction form
    2,771.30/3,823.34 = 1,776.42/x
  3. Step 3: Cross multiply
    2,771.30x = 3,823.34 × 1,776.42
  4. Step 4: Simplify right side
    2,771.30x = 6,791,848.76
  5. Step 5: Solve for x
    x = 6,791,848.76/2,771.30
  6. Step 6: Final answer
    x = 2,450.78

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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.