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Finding the Fourth Proportional to 13,433.88, 20,149.74 and 8,489.10

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Solution

The fourth proportional to 13,433.88, 20,149.74 and 8,489.10 is: 12,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.88 : 20,149.74 = 8,489.10 : x
  2. Step 2: Convert to fraction form
    13,433.88/20,149.74 = 8,489.10/x
  3. Step 3: Cross multiply
    13,433.88x = 20,149.74 × 8,489.10
  4. Step 4: Simplify right side
    13,433.88x = 171,053,157.83
  5. Step 5: Solve for x
    x = 171,053,157.83/13,433.88
  6. Step 6: Final answer
    x = 12,732.97

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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.