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Finding the Fourth Proportional to 2,121.19, 3,181.78 and 582.19

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Solution

The fourth proportional to 2,121.19, 3,181.78 and 582.19 is: 873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.19 : 3,181.78 = 582.19 : x
  2. Step 2: Convert to fraction form
    2,121.19/3,181.78 = 582.19/x
  3. Step 3: Cross multiply
    2,121.19x = 3,181.78 × 582.19
  4. Step 4: Simplify right side
    2,121.19x = 1,852,393.27
  5. Step 5: Solve for x
    x = 1,852,393.27/2,121.19
  6. Step 6: Final answer
    x = 873.28

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1.5x scale

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.