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Finding the Fourth Proportional to 13,013, 19,520.04 and 3,779

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Solution

The fourth proportional to 13,013, 19,520.04 and 3,779 is: 5,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013 : 19,520.04 = 3,779 : x
  2. Step 2: Convert to fraction form
    13,013/19,520.04 = 3,779/x
  3. Step 3: Cross multiply
    13,013x = 19,520.04 × 3,779
  4. Step 4: Simplify right side
    13,013x = 73,766,231.16
  5. Step 5: Solve for x
    x = 73,766,231.16/13,013
  6. Step 6: Final answer
    x = 5,668.66

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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.