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Finding the Fourth Proportional to 13,155, 19,735.92 and 3,921

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Solution

The fourth proportional to 13,155, 19,735.92 and 3,921 is: 5,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,155 : 19,735.92 = 3,921 : x
  2. Step 2: Convert to fraction form
    13,155/19,735.92 = 3,921/x
  3. Step 3: Cross multiply
    13,155x = 19,735.92 × 3,921
  4. Step 4: Simplify right side
    13,155x = 77,384,542.32
  5. Step 5: Solve for x
    x = 77,384,542.32/13,155
  6. Step 6: Final answer
    x = 5,882.52

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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.