Home / 4,200-5,795.88-2,311.59

Finding the Fourth Proportional to 4,200, 5,795.88 and 2,311.59

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Solution

The fourth proportional to 4,200, 5,795.88 and 2,311.59 is: 3,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 5,795.88 = 2,311.59 : x
  2. Step 2: Convert to fraction form
    4,200/5,795.88 = 2,311.59/x
  3. Step 3: Cross multiply
    4,200x = 5,795.88 × 2,311.59
  4. Step 4: Simplify right side
    4,200x = 13,397,698.25
  5. Step 5: Solve for x
    x = 13,397,698.25/4,200
  6. Step 6: Final answer
    x = 3,189.93

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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.