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Finding the Fourth Proportional to 11,768.72, 16,241.12 and 6,463.88

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Solution

The fourth proportional to 11,768.72, 16,241.12 and 6,463.88 is: 8,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.72 : 16,241.12 = 6,463.88 : x
  2. Step 2: Convert to fraction form
    11,768.72/16,241.12 = 6,463.88/x
  3. Step 3: Cross multiply
    11,768.72x = 16,241.12 × 6,463.88
  4. Step 4: Simplify right side
    11,768.72x = 104,980,650.75
  5. Step 5: Solve for x
    x = 104,980,650.75/11,768.72
  6. Step 6: Final answer
    x = 8,920.31

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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.