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Finding the Fourth Proportional to 13,419, 20,129.04 and 4,185

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Solution

The fourth proportional to 13,419, 20,129.04 and 4,185 is: 6,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419 : 20,129.04 = 4,185 : x
  2. Step 2: Convert to fraction form
    13,419/20,129.04 = 4,185/x
  3. Step 3: Cross multiply
    13,419x = 20,129.04 × 4,185
  4. Step 4: Simplify right side
    13,419x = 84,240,032.40
  5. Step 5: Solve for x
    x = 84,240,032.40/13,419
  6. Step 6: Final answer
    x = 6,277.67

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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.