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Finding the Fourth Proportional to 11,769, 16,241.64 and 6,463.76

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Solution

The fourth proportional to 11,769, 16,241.64 and 6,463.76 is: 8,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769 : 16,241.64 = 6,463.76 : x
  2. Step 2: Convert to fraction form
    11,769/16,241.64 = 6,463.76/x
  3. Step 3: Cross multiply
    11,769x = 16,241.64 × 6,463.76
  4. Step 4: Simplify right side
    11,769x = 104,982,062.97
  5. Step 5: Solve for x
    x = 104,982,062.97/11,769
  6. Step 6: Final answer
    x = 8,920.22

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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.