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Finding the Fourth Proportional to 2,987.26, 4,480.81 and 796.01

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Solution

The fourth proportional to 2,987.26, 4,480.81 and 796.01 is: 1,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.26 : 4,480.81 = 796.01 : x
  2. Step 2: Convert to fraction form
    2,987.26/4,480.81 = 796.01/x
  3. Step 3: Cross multiply
    2,987.26x = 4,480.81 × 796.01
  4. Step 4: Simplify right side
    2,987.26x = 3,566,769.57
  5. Step 5: Solve for x
    x = 3,566,769.57/2,987.26
  6. Step 6: Final answer
    x = 1,193.99

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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.