Home / 2,823.78-3,896.83-1,564.86

Finding the Fourth Proportional to 2,823.78, 3,896.83 and 1,564.86

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Solution

The fourth proportional to 2,823.78, 3,896.83 and 1,564.86 is: 2,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.78 : 3,896.83 = 1,564.86 : x
  2. Step 2: Convert to fraction form
    2,823.78/3,896.83 = 1,564.86/x
  3. Step 3: Cross multiply
    2,823.78x = 3,896.83 × 1,564.86
  4. Step 4: Simplify right side
    2,823.78x = 6,097,983.64
  5. Step 5: Solve for x
    x = 6,097,983.64/2,823.78
  6. Step 6: Final answer
    x = 2,159.51

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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.