Home / 3,827.58-5,739.86-2,270.76

Finding the Fourth Proportional to 3,827.58, 5,739.86 and 2,270.76

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Solution

The fourth proportional to 3,827.58, 5,739.86 and 2,270.76 is: 3,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.58 : 5,739.86 = 2,270.76 : x
  2. Step 2: Convert to fraction form
    3,827.58/5,739.86 = 2,270.76/x
  3. Step 3: Cross multiply
    3,827.58x = 5,739.86 × 2,270.76
  4. Step 4: Simplify right side
    3,827.58x = 13,033,844.49
  5. Step 5: Solve for x
    x = 13,033,844.49/3,827.58
  6. Step 6: Final answer
    x = 3,405.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.