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Finding the Fourth Proportional to 13,830, 20,745.87 and 3,969.06

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Solution

The fourth proportional to 13,830, 20,745.87 and 3,969.06 is: 5,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830 : 20,745.87 = 3,969.06 : x
  2. Step 2: Convert to fraction form
    13,830/20,745.87 = 3,969.06/x
  3. Step 3: Cross multiply
    13,830x = 20,745.87 × 3,969.06
  4. Step 4: Simplify right side
    13,830x = 82,341,602.78
  5. Step 5: Solve for x
    x = 82,341,602.78/13,830
  6. Step 6: Final answer
    x = 5,953.84

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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.