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Finding the Fourth Proportional to 12,906, 19,365.48 and 5,982.48

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Solution

The fourth proportional to 12,906, 19,365.48 and 5,982.48 is: 8,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906 : 19,365.48 = 5,982.48 : x
  2. Step 2: Convert to fraction form
    12,906/19,365.48 = 5,982.48/x
  3. Step 3: Cross multiply
    12,906x = 19,365.48 × 5,982.48
  4. Step 4: Simplify right side
    12,906x = 115,853,596.79
  5. Step 5: Solve for x
    x = 115,853,596.79/12,906
  6. Step 6: Final answer
    x = 8,976.72

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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.