Home / 2,828-3,902.80-1,586.08

Finding the Fourth Proportional to 2,828, 3,902.80 and 1,586.08

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Solution

The fourth proportional to 2,828, 3,902.80 and 1,586.08 is: 2,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828 : 3,902.80 = 1,586.08 : x
  2. Step 2: Convert to fraction form
    2,828/3,902.80 = 1,586.08/x
  3. Step 3: Cross multiply
    2,828x = 3,902.80 × 1,586.08
  4. Step 4: Simplify right side
    2,828x = 6,190,153.02
  5. Step 5: Solve for x
    x = 6,190,153.02/2,828
  6. Step 6: Final answer
    x = 2,188.88

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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.