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Finding the Fourth Proportional to 7,783.80, 11,676.44 and 3,102.68

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Solution

The fourth proportional to 7,783.80, 11,676.44 and 3,102.68 is: 4,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.80 : 11,676.44 = 3,102.68 : x
  2. Step 2: Convert to fraction form
    7,783.80/11,676.44 = 3,102.68/x
  3. Step 3: Cross multiply
    7,783.80x = 11,676.44 × 3,102.68
  4. Step 4: Simplify right side
    7,783.80x = 36,228,256.86
  5. Step 5: Solve for x
    x = 36,228,256.86/7,783.80
  6. Step 6: Final answer
    x = 4,654.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.