Home / 2,823.91-3,896.91-1,564.92

Finding the Fourth Proportional to 2,823.91, 3,896.91 and 1,564.92

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Solution

The fourth proportional to 2,823.91, 3,896.91 and 1,564.92 is: 2,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.91 : 3,896.91 = 1,564.92 : x
  2. Step 2: Convert to fraction form
    2,823.91/3,896.91 = 1,564.92/x
  3. Step 3: Cross multiply
    2,823.91x = 3,896.91 × 1,564.92
  4. Step 4: Simplify right side
    2,823.91x = 6,098,352.40
  5. Step 5: Solve for x
    x = 6,098,352.40/2,823.91
  6. Step 6: Final answer
    x = 2,159.54

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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.