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Finding the Fourth Proportional to 13,153, 19,732.92 and 3,919

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Solution

The fourth proportional to 13,153, 19,732.92 and 3,919 is: 5,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153 : 19,732.92 = 3,919 : x
  2. Step 2: Convert to fraction form
    13,153/19,732.92 = 3,919/x
  3. Step 3: Cross multiply
    13,153x = 19,732.92 × 3,919
  4. Step 4: Simplify right side
    13,153x = 77,333,313.48
  5. Step 5: Solve for x
    x = 77,333,313.48/13,153
  6. Step 6: Final answer
    x = 5,879.52

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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.