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Finding the Fourth Proportional to 3,843.51, 5,303.60 and 2,164.87

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Solution

The fourth proportional to 3,843.51, 5,303.60 and 2,164.87 is: 2,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.51 : 5,303.60 = 2,164.87 : x
  2. Step 2: Convert to fraction form
    3,843.51/5,303.60 = 2,164.87/x
  3. Step 3: Cross multiply
    3,843.51x = 5,303.60 × 2,164.87
  4. Step 4: Simplify right side
    3,843.51x = 11,481,604.53
  5. Step 5: Solve for x
    x = 11,481,604.53/3,843.51
  6. Step 6: Final answer
    x = 2,987.27

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1.5x scale

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.