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Finding the Fourth Proportional to 2,180.56, 3,271.74 and 949

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Solution

The fourth proportional to 2,180.56, 3,271.74 and 949 is: 1,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.56 : 3,271.74 = 949 : x
  2. Step 2: Convert to fraction form
    2,180.56/3,271.74 = 949/x
  3. Step 3: Cross multiply
    2,180.56x = 3,271.74 × 949
  4. Step 4: Simplify right side
    2,180.56x = 3,104,881.26
  5. Step 5: Solve for x
    x = 3,104,881.26/2,180.56
  6. Step 6: Final answer
    x = 1,423.89

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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.