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Finding the Fourth Proportional to 1,796.80, 2,479.50 and 1,207.24

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Solution

The fourth proportional to 1,796.80, 2,479.50 and 1,207.24 is: 1,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.80 : 2,479.50 = 1,207.24 : x
  2. Step 2: Convert to fraction form
    1,796.80/2,479.50 = 1,207.24/x
  3. Step 3: Cross multiply
    1,796.80x = 2,479.50 × 1,207.24
  4. Step 4: Simplify right side
    1,796.80x = 2,993,351.58
  5. Step 5: Solve for x
    x = 2,993,351.58/1,796.80
  6. Step 6: Final answer
    x = 1,665.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.