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Finding the Fourth Proportional to 2,383.76, 3,289.10 and 2,305.10

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Solution

The fourth proportional to 2,383.76, 3,289.10 and 2,305.10 is: 3,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.76 : 3,289.10 = 2,305.10 : x
  2. Step 2: Convert to fraction form
    2,383.76/3,289.10 = 2,305.10/x
  3. Step 3: Cross multiply
    2,383.76x = 3,289.10 × 2,305.10
  4. Step 4: Simplify right side
    2,383.76x = 7,581,676.44
  5. Step 5: Solve for x
    x = 7,581,676.44/2,383.76
  6. Step 6: Final answer
    x = 3,180.56

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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.