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Finding the Fourth Proportional to 13,921.54, 20,874.09 and 5,594.54

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Solution

The fourth proportional to 13,921.54, 20,874.09 and 5,594.54 is: 8,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.54 : 20,874.09 = 5,594.54 : x
  2. Step 2: Convert to fraction form
    13,921.54/20,874.09 = 5,594.54/x
  3. Step 3: Cross multiply
    13,921.54x = 20,874.09 × 5,594.54
  4. Step 4: Simplify right side
    13,921.54x = 116,780,848.08
  5. Step 5: Solve for x
    x = 116,780,848.08/13,921.54
  6. Step 6: Final answer
    x = 8,388.50

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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.