Home / 2,135.52-3,204.88-982.08

Finding the Fourth Proportional to 2,135.52, 3,204.88 and 982.08

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Solution

The fourth proportional to 2,135.52, 3,204.88 and 982.08 is: 1,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.52 : 3,204.88 = 982.08 : x
  2. Step 2: Convert to fraction form
    2,135.52/3,204.88 = 982.08/x
  3. Step 3: Cross multiply
    2,135.52x = 3,204.88 × 982.08
  4. Step 4: Simplify right side
    2,135.52x = 3,147,448.55
  5. Step 5: Solve for x
    x = 3,147,448.55/2,135.52
  6. Step 6: Final answer
    x = 1,473.86

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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.