Home / 2,828.12-3,902.70-1,586.04

Finding the Fourth Proportional to 2,828.12, 3,902.70 and 1,586.04

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Solution

The fourth proportional to 2,828.12, 3,902.70 and 1,586.04 is: 2,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.12 : 3,902.70 = 1,586.04 : x
  2. Step 2: Convert to fraction form
    2,828.12/3,902.70 = 1,586.04/x
  3. Step 3: Cross multiply
    2,828.12x = 3,902.70 × 1,586.04
  4. Step 4: Simplify right side
    2,828.12x = 6,189,838.31
  5. Step 5: Solve for x
    x = 6,189,838.31/2,828.12
  6. Step 6: Final answer
    x = 2,188.68

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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.