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Finding the Fourth Proportional to 13,676.64, 20,509.92 and 4,909.20

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Solution

The fourth proportional to 13,676.64, 20,509.92 and 4,909.20 is: 7,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.64 : 20,509.92 = 4,909.20 : x
  2. Step 2: Convert to fraction form
    13,676.64/20,509.92 = 4,909.20/x
  3. Step 3: Cross multiply
    13,676.64x = 20,509.92 × 4,909.20
  4. Step 4: Simplify right side
    13,676.64x = 100,687,299.26
  5. Step 5: Solve for x
    x = 100,687,299.26/13,676.64
  6. Step 6: Final answer
    x = 7,361.99

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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.