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Finding the Fourth Proportional to 2,383.76, 3,289.36 and 1,335.64

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Solution

The fourth proportional to 2,383.76, 3,289.36 and 1,335.64 is: 1,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.76 : 3,289.36 = 1,335.64 : x
  2. Step 2: Convert to fraction form
    2,383.76/3,289.36 = 1,335.64/x
  3. Step 3: Cross multiply
    2,383.76x = 3,289.36 × 1,335.64
  4. Step 4: Simplify right side
    2,383.76x = 4,393,400.79
  5. Step 5: Solve for x
    x = 4,393,400.79/2,383.76
  6. Step 6: Final answer
    x = 1,843.06

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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.