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Finding the Fourth Proportional to 13,456, 20,184.72 and 4,222.72

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Solution

The fourth proportional to 13,456, 20,184.72 and 4,222.72 is: 6,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456 : 20,184.72 = 4,222.72 : x
  2. Step 2: Convert to fraction form
    13,456/20,184.72 = 4,222.72/x
  3. Step 3: Cross multiply
    13,456x = 20,184.72 × 4,222.72
  4. Step 4: Simplify right side
    13,456x = 85,234,420.84
  5. Step 5: Solve for x
    x = 85,234,420.84/13,456
  6. Step 6: Final answer
    x = 6,334.31

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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.