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Finding the Fourth Proportional to 13,846, 20,777.64 and 5,638

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Solution

The fourth proportional to 13,846, 20,777.64 and 5,638 is: 8,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846 : 20,777.64 = 5,638 : x
  2. Step 2: Convert to fraction form
    13,846/20,777.64 = 5,638/x
  3. Step 3: Cross multiply
    13,846x = 20,777.64 × 5,638
  4. Step 4: Simplify right side
    13,846x = 117,144,334.32
  5. Step 5: Solve for x
    x = 117,144,334.32/13,846
  6. Step 6: Final answer
    x = 8,460.52

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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.