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Finding the Fourth Proportional to 13,164, 19,749.24 and 3,930

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Solution

The fourth proportional to 13,164, 19,749.24 and 3,930 is: 5,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164 : 19,749.24 = 3,930 : x
  2. Step 2: Convert to fraction form
    13,164/19,749.24 = 3,930/x
  3. Step 3: Cross multiply
    13,164x = 19,749.24 × 3,930
  4. Step 4: Simplify right side
    13,164x = 77,614,513.20
  5. Step 5: Solve for x
    x = 77,614,513.20/13,164
  6. Step 6: Final answer
    x = 5,895.97

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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.