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Finding the Fourth Proportional to 1,966.80, 2,960.91 and 1,698.96

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Solution

The fourth proportional to 1,966.80, 2,960.91 and 1,698.96 is: 2,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.80 : 2,960.91 = 1,698.96 : x
  2. Step 2: Convert to fraction form
    1,966.80/2,960.91 = 1,698.96/x
  3. Step 3: Cross multiply
    1,966.80x = 2,960.91 × 1,698.96
  4. Step 4: Simplify right side
    1,966.80x = 5,030,467.65
  5. Step 5: Solve for x
    x = 5,030,467.65/1,966.80
  6. Step 6: Final answer
    x = 2,557.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.