Home / 3,283-4,921.20-1,548.52

Finding the Fourth Proportional to 3,283, 4,921.20 and 1,548.52

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Solution

The fourth proportional to 3,283, 4,921.20 and 1,548.52 is: 2,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283 : 4,921.20 = 1,548.52 : x
  2. Step 2: Convert to fraction form
    3,283/4,921.20 = 1,548.52/x
  3. Step 3: Cross multiply
    3,283x = 4,921.20 × 1,548.52
  4. Step 4: Simplify right side
    3,283x = 7,620,576.62
  5. Step 5: Solve for x
    x = 7,620,576.62/3,283
  6. Step 6: Final answer
    x = 2,321.22

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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.