Home / 2,823.40-3,896.20-1,564.42

Finding the Fourth Proportional to 2,823.40, 3,896.20 and 1,564.42

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Solution

The fourth proportional to 2,823.40, 3,896.20 and 1,564.42 is: 2,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.40 : 3,896.20 = 1,564.42 : x
  2. Step 2: Convert to fraction form
    2,823.40/3,896.20 = 1,564.42/x
  3. Step 3: Cross multiply
    2,823.40x = 3,896.20 × 1,564.42
  4. Step 4: Simplify right side
    2,823.40x = 6,095,293.20
  5. Step 5: Solve for x
    x = 6,095,293.20/2,823.40
  6. Step 6: Final answer
    x = 2,158.85

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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.