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Finding the Fourth Proportional to 13,504.62, 20,256.90 and 3,644.88

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Solution

The fourth proportional to 13,504.62, 20,256.90 and 3,644.88 is: 5,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.62 : 20,256.90 = 3,644.88 : x
  2. Step 2: Convert to fraction form
    13,504.62/20,256.90 = 3,644.88/x
  3. Step 3: Cross multiply
    13,504.62x = 20,256.90 × 3,644.88
  4. Step 4: Simplify right side
    13,504.62x = 73,833,969.67
  5. Step 5: Solve for x
    x = 73,833,969.67/13,504.62
  6. Step 6: Final answer
    x = 5,467.31

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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.