Home / 2,122.60-3,183.56-583.24

Finding the Fourth Proportional to 2,122.60, 3,183.56 and 583.24

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Solution

The fourth proportional to 2,122.60, 3,183.56 and 583.24 is: 874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.60 : 3,183.56 = 583.24 : x
  2. Step 2: Convert to fraction form
    2,122.60/3,183.56 = 583.24/x
  3. Step 3: Cross multiply
    2,122.60x = 3,183.56 × 583.24
  4. Step 4: Simplify right side
    2,122.60x = 1,856,779.53
  5. Step 5: Solve for x
    x = 1,856,779.53/2,122.60
  6. Step 6: Final answer
    x = 874.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.