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Finding the Fourth Proportional to 13,203.85, 19,806 and 4,438.84

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Solution

The fourth proportional to 13,203.85, 19,806 and 4,438.84 is: 6,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.85 : 19,806 = 4,438.84 : x
  2. Step 2: Convert to fraction form
    13,203.85/19,806 = 4,438.84/x
  3. Step 3: Cross multiply
    13,203.85x = 19,806 × 4,438.84
  4. Step 4: Simplify right side
    13,203.85x = 87,915,665.04
  5. Step 5: Solve for x
    x = 87,915,665.04/13,203.85
  6. Step 6: Final answer
    x = 6,658.34

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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.