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Finding the Fourth Proportional to 13,230, 19,845.81 and 3,996

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Solution

The fourth proportional to 13,230, 19,845.81 and 3,996 is: 5,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230 : 19,845.81 = 3,996 : x
  2. Step 2: Convert to fraction form
    13,230/19,845.81 = 3,996/x
  3. Step 3: Cross multiply
    13,230x = 19,845.81 × 3,996
  4. Step 4: Simplify right side
    13,230x = 79,303,856.76
  5. Step 5: Solve for x
    x = 79,303,856.76/13,230
  6. Step 6: Final answer
    x = 5,994.24

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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.