Home / 2,823.57-3,896.21-1,564.31

Finding the Fourth Proportional to 2,823.57, 3,896.21 and 1,564.31

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Solution

The fourth proportional to 2,823.57, 3,896.21 and 1,564.31 is: 2,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.57 : 3,896.21 = 1,564.31 : x
  2. Step 2: Convert to fraction form
    2,823.57/3,896.21 = 1,564.31/x
  3. Step 3: Cross multiply
    2,823.57x = 3,896.21 × 1,564.31
  4. Step 4: Simplify right side
    2,823.57x = 6,094,893.92
  5. Step 5: Solve for x
    x = 6,094,893.92/2,823.57
  6. Step 6: Final answer
    x = 2,158.57

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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.