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Finding the Fourth Proportional to 3,206.97, 4,809.98 and 1,973.75

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Solution

The fourth proportional to 3,206.97, 4,809.98 and 1,973.75 is: 2,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.97 : 4,809.98 = 1,973.75 : x
  2. Step 2: Convert to fraction form
    3,206.97/4,809.98 = 1,973.75/x
  3. Step 3: Cross multiply
    3,206.97x = 4,809.98 × 1,973.75
  4. Step 4: Simplify right side
    3,206.97x = 9,493,678.91
  5. Step 5: Solve for x
    x = 9,493,678.91/3,206.97
  6. Step 6: Final answer
    x = 2,960.33

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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.