Home / 2,182.14-3,272.63-949.28

Finding the Fourth Proportional to 2,182.14, 3,272.63 and 949.28

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Solution

The fourth proportional to 2,182.14, 3,272.63 and 949.28 is: 1,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.14 : 3,272.63 = 949.28 : x
  2. Step 2: Convert to fraction form
    2,182.14/3,272.63 = 949.28/x
  3. Step 3: Cross multiply
    2,182.14x = 3,272.63 × 949.28
  4. Step 4: Simplify right side
    2,182.14x = 3,106,621.10
  5. Step 5: Solve for x
    x = 3,106,621.10/2,182.14
  6. Step 6: Final answer
    x = 1,423.66

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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.