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Finding the Fourth Proportional to 12,576, 18,864.91 and 3,811.60

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Solution

The fourth proportional to 12,576, 18,864.91 and 3,811.60 is: 5,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 18,864.91 = 3,811.60 : x
  2. Step 2: Convert to fraction form
    12,576/18,864.91 = 3,811.60/x
  3. Step 3: Cross multiply
    12,576x = 18,864.91 × 3,811.60
  4. Step 4: Simplify right side
    12,576x = 71,905,490.96
  5. Step 5: Solve for x
    x = 71,905,490.96/12,576
  6. Step 6: Final answer
    x = 5,717.68

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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.