Home / 3,827.86-5,283.84-2,257.27

Finding the Fourth Proportional to 3,827.86, 5,283.84 and 2,257.27

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Solution

The fourth proportional to 3,827.86, 5,283.84 and 2,257.27 is: 3,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.86 : 5,283.84 = 2,257.27 : x
  2. Step 2: Convert to fraction form
    3,827.86/5,283.84 = 2,257.27/x
  3. Step 3: Cross multiply
    3,827.86x = 5,283.84 × 2,257.27
  4. Step 4: Simplify right side
    3,827.86x = 11,927,053.52
  5. Step 5: Solve for x
    x = 11,927,053.52/3,827.86
  6. Step 6: Final answer
    x = 3,115.85

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1.5x scale

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.