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Finding the Fourth Proportional to 13,714.05, 20,571.80 and 4,354.80

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Solution

The fourth proportional to 13,714.05, 20,571.80 and 4,354.80 is: 6,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.05 : 20,571.80 = 4,354.80 : x
  2. Step 2: Convert to fraction form
    13,714.05/20,571.80 = 4,354.80/x
  3. Step 3: Cross multiply
    13,714.05x = 20,571.80 × 4,354.80
  4. Step 4: Simplify right side
    13,714.05x = 89,586,074.64
  5. Step 5: Solve for x
    x = 89,586,074.64/13,714.05
  6. Step 6: Final answer
    x = 6,532.43

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1.5x scale

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.