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Finding the Fourth Proportional to 2,119.21, 3,178.81 and 580.21

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Solution

The fourth proportional to 2,119.21, 3,178.81 and 580.21 is: 870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.21 : 3,178.81 = 580.21 : x
  2. Step 2: Convert to fraction form
    2,119.21/3,178.81 = 580.21/x
  3. Step 3: Cross multiply
    2,119.21x = 3,178.81 × 580.21
  4. Step 4: Simplify right side
    2,119.21x = 1,844,361.46
  5. Step 5: Solve for x
    x = 1,844,361.46/2,119.21
  6. Step 6: Final answer
    x = 870.31

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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.