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Finding the Fourth Proportional to 13,365, 20,048.58 and 4,131

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Solution

The fourth proportional to 13,365, 20,048.58 and 4,131 is: 6,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365 : 20,048.58 = 4,131 : x
  2. Step 2: Convert to fraction form
    13,365/20,048.58 = 4,131/x
  3. Step 3: Cross multiply
    13,365x = 20,048.58 × 4,131
  4. Step 4: Simplify right side
    13,365x = 82,820,683.98
  5. Step 5: Solve for x
    x = 82,820,683.98/13,365
  6. Step 6: Final answer
    x = 6,196.83

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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.