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Finding the Fourth Proportional to 1,581.88, 2,183.46 and 919.00

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Solution

The fourth proportional to 1,581.88, 2,183.46 and 919.00 is: 1,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.88 : 2,183.46 = 919.00 : x
  2. Step 2: Convert to fraction form
    1,581.88/2,183.46 = 919.00/x
  3. Step 3: Cross multiply
    1,581.88x = 2,183.46 × 919.00
  4. Step 4: Simplify right side
    1,581.88x = 2,006,586.74
  5. Step 5: Solve for x
    x = 2,006,586.74/1,581.88
  6. Step 6: Final answer
    x = 1,268.48

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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.