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Finding the Fourth Proportional to 13,104, 19,658.16 and 3,872.16

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Solution

The fourth proportional to 13,104, 19,658.16 and 3,872.16 is: 5,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104 : 19,658.16 = 3,872.16 : x
  2. Step 2: Convert to fraction form
    13,104/19,658.16 = 3,872.16/x
  3. Step 3: Cross multiply
    13,104x = 19,658.16 × 3,872.16
  4. Step 4: Simplify right side
    13,104x = 76,119,540.83
  5. Step 5: Solve for x
    x = 76,119,540.83/13,104
  6. Step 6: Final answer
    x = 5,808.88

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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.