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Finding the Fourth Proportional to 13,909, 20,863.50 and 4,675

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Solution

The fourth proportional to 13,909, 20,863.50 and 4,675 is: 7,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909 : 20,863.50 = 4,675 : x
  2. Step 2: Convert to fraction form
    13,909/20,863.50 = 4,675/x
  3. Step 3: Cross multiply
    13,909x = 20,863.50 × 4,675
  4. Step 4: Simplify right side
    13,909x = 97,536,862.50
  5. Step 5: Solve for x
    x = 97,536,862.50/13,909
  6. Step 6: Final answer
    x = 7,012.50

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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.