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Finding the Fourth Proportional to 1,582.57, 2,183.78 and 919.30

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Solution

The fourth proportional to 1,582.57, 2,183.78 and 919.30 is: 1,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.57 : 2,183.78 = 919.30 : x
  2. Step 2: Convert to fraction form
    1,582.57/2,183.78 = 919.30/x
  3. Step 3: Cross multiply
    1,582.57x = 2,183.78 × 919.30
  4. Step 4: Simplify right side
    1,582.57x = 2,007,548.95
  5. Step 5: Solve for x
    x = 2,007,548.95/1,582.57
  6. Step 6: Final answer
    x = 1,268.54

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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.