Home / 2,271.97-3,408.56-1,428.65

Finding the Fourth Proportional to 2,271.97, 3,408.56 and 1,428.65

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Solution

The fourth proportional to 2,271.97, 3,408.56 and 1,428.65 is: 2,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.97 : 3,408.56 = 1,428.65 : x
  2. Step 2: Convert to fraction form
    2,271.97/3,408.56 = 1,428.65/x
  3. Step 3: Cross multiply
    2,271.97x = 3,408.56 × 1,428.65
  4. Step 4: Simplify right side
    2,271.97x = 4,869,639.24
  5. Step 5: Solve for x
    x = 4,869,639.24/2,271.97
  6. Step 6: Final answer
    x = 2,143.36

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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.