Home / 2,143.24-3,215.08-682.05

Finding the Fourth Proportional to 2,143.24, 3,215.08 and 682.05

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Solution

The fourth proportional to 2,143.24, 3,215.08 and 682.05 is: 1,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.24 : 3,215.08 = 682.05 : x
  2. Step 2: Convert to fraction form
    2,143.24/3,215.08 = 682.05/x
  3. Step 3: Cross multiply
    2,143.24x = 3,215.08 × 682.05
  4. Step 4: Simplify right side
    2,143.24x = 2,192,858.22
  5. Step 5: Solve for x
    x = 2,192,858.22/2,143.24
  6. Step 6: Final answer
    x = 1,023.15

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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.