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Finding the Fourth Proportional to 3,843.57, 5,303.57 and 2,164.68

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Solution

The fourth proportional to 3,843.57, 5,303.57 and 2,164.68 is: 2,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.57 : 5,303.57 = 2,164.68 : x
  2. Step 2: Convert to fraction form
    3,843.57/5,303.57 = 2,164.68/x
  3. Step 3: Cross multiply
    3,843.57x = 5,303.57 × 2,164.68
  4. Step 4: Simplify right side
    3,843.57x = 11,480,531.91
  5. Step 5: Solve for x
    x = 11,480,531.91/3,843.57
  6. Step 6: Final answer
    x = 2,986.94

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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.