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Finding the Fourth Proportional to 1,582.22, 2,183.46 and 883.60

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Solution

The fourth proportional to 1,582.22, 2,183.46 and 883.60 is: 1,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.22 : 2,183.46 = 883.60 : x
  2. Step 2: Convert to fraction form
    1,582.22/2,183.46 = 883.60/x
  3. Step 3: Cross multiply
    1,582.22x = 2,183.46 × 883.60
  4. Step 4: Simplify right side
    1,582.22x = 1,929,299.80
  5. Step 5: Solve for x
    x = 1,929,299.80/1,582.22
  6. Step 6: Final answer
    x = 1,219.36

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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.