Home / 2,770.72-3,823.42-1,590.96

Finding the Fourth Proportional to 2,770.72, 3,823.42 and 1,590.96

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Solution

The fourth proportional to 2,770.72, 3,823.42 and 1,590.96 is: 2,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.72 : 3,823.42 = 1,590.96 : x
  2. Step 2: Convert to fraction form
    2,770.72/3,823.42 = 1,590.96/x
  3. Step 3: Cross multiply
    2,770.72x = 3,823.42 × 1,590.96
  4. Step 4: Simplify right side
    2,770.72x = 6,082,908.28
  5. Step 5: Solve for x
    x = 6,082,908.28/2,770.72
  6. Step 6: Final answer
    x = 2,195.43

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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.