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Finding the Fourth Proportional to 13,866.54, 20,799.90 and 3,478.26

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Solution

The fourth proportional to 13,866.54, 20,799.90 and 3,478.26 is: 5,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.54 : 20,799.90 = 3,478.26 : x
  2. Step 2: Convert to fraction form
    13,866.54/20,799.90 = 3,478.26/x
  3. Step 3: Cross multiply
    13,866.54x = 20,799.90 × 3,478.26
  4. Step 4: Simplify right side
    13,866.54x = 72,347,460.17
  5. Step 5: Solve for x
    x = 72,347,460.17/13,866.54
  6. Step 6: Final answer
    x = 5,217.41

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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.