Home / 2,180-3,271.20-1,025.84

Finding the Fourth Proportional to 2,180, 3,271.20 and 1,025.84

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Solution

The fourth proportional to 2,180, 3,271.20 and 1,025.84 is: 1,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180 : 3,271.20 = 1,025.84 : x
  2. Step 2: Convert to fraction form
    2,180/3,271.20 = 1,025.84/x
  3. Step 3: Cross multiply
    2,180x = 3,271.20 × 1,025.84
  4. Step 4: Simplify right side
    2,180x = 3,355,727.81
  5. Step 5: Solve for x
    x = 3,355,727.81/2,180
  6. Step 6: Final answer
    x = 1,539.32

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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.