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Finding the Fourth Proportional to 8,977.82, 13,468.54 and 3,783.68

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Solution

The fourth proportional to 8,977.82, 13,468.54 and 3,783.68 is: 5,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.82 : 13,468.54 = 3,783.68 : x
  2. Step 2: Convert to fraction form
    8,977.82/13,468.54 = 3,783.68/x
  3. Step 3: Cross multiply
    8,977.82x = 13,468.54 × 3,783.68
  4. Step 4: Simplify right side
    8,977.82x = 50,960,645.43
  5. Step 5: Solve for x
    x = 50,960,645.43/8,977.82
  6. Step 6: Final answer
    x = 5,676.28

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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.