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Finding the Fourth Proportional to 3,834.77, 5,744.63 and 1,987.09

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Solution

The fourth proportional to 3,834.77, 5,744.63 and 1,987.09 is: 2,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.77 : 5,744.63 = 1,987.09 : x
  2. Step 2: Convert to fraction form
    3,834.77/5,744.63 = 1,987.09/x
  3. Step 3: Cross multiply
    3,834.77x = 5,744.63 × 1,987.09
  4. Step 4: Simplify right side
    3,834.77x = 11,415,130.62
  5. Step 5: Solve for x
    x = 11,415,130.62/3,834.77
  6. Step 6: Final answer
    x = 2,976.75

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1.5x scale

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.