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Finding the Fourth Proportional to 2,321.79, 3,204.15 and 1,327.05

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Solution

The fourth proportional to 2,321.79, 3,204.15 and 1,327.05 is: 1,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.79 : 3,204.15 = 1,327.05 : x
  2. Step 2: Convert to fraction form
    2,321.79/3,204.15 = 1,327.05/x
  3. Step 3: Cross multiply
    2,321.79x = 3,204.15 × 1,327.05
  4. Step 4: Simplify right side
    2,321.79x = 4,252,067.26
  5. Step 5: Solve for x
    x = 4,252,067.26/2,321.79
  6. Step 6: Final answer
    x = 1,831.37

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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.