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Finding the Fourth Proportional to 13,900, 20,846.72 and 4,537.60

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Solution

The fourth proportional to 13,900, 20,846.72 and 4,537.60 is: 6,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900 : 20,846.72 = 4,537.60 : x
  2. Step 2: Convert to fraction form
    13,900/20,846.72 = 4,537.60/x
  3. Step 3: Cross multiply
    13,900x = 20,846.72 × 4,537.60
  4. Step 4: Simplify right side
    13,900x = 94,594,076.67
  5. Step 5: Solve for x
    x = 94,594,076.67/13,900
  6. Step 6: Final answer
    x = 6,805.33

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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.