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Finding the Fourth Proportional to 14,520.69, 20,049.84 and 11,158.20

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Solution

The fourth proportional to 14,520.69, 20,049.84 and 11,158.20 is: 15,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.69 : 20,049.84 = 11,158.20 : x
  2. Step 2: Convert to fraction form
    14,520.69/20,049.84 = 11,158.20/x
  3. Step 3: Cross multiply
    14,520.69x = 20,049.84 × 11,158.20
  4. Step 4: Simplify right side
    14,520.69x = 223,720,124.69
  5. Step 5: Solve for x
    x = 223,720,124.69/14,520.69
  6. Step 6: Final answer
    x = 15,406.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.