Home / 1,975.12-2,960.88-1,204

Finding the Fourth Proportional to 1,975.12, 2,960.88 and 1,204

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Solution

The fourth proportional to 1,975.12, 2,960.88 and 1,204 is: 1,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.12 : 2,960.88 = 1,204 : x
  2. Step 2: Convert to fraction form
    1,975.12/2,960.88 = 1,204/x
  3. Step 3: Cross multiply
    1,975.12x = 2,960.88 × 1,204
  4. Step 4: Simplify right side
    1,975.12x = 3,564,899.52
  5. Step 5: Solve for x
    x = 3,564,899.52/1,975.12
  6. Step 6: Final answer
    x = 1,804.90

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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.