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Finding the Fourth Proportional to 14,919.23, 20,589.08 and 8,205.37

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Solution

The fourth proportional to 14,919.23, 20,589.08 and 8,205.37 is: 11,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.23 : 20,589.08 = 8,205.37 : x
  2. Step 2: Convert to fraction form
    14,919.23/20,589.08 = 8,205.37/x
  3. Step 3: Cross multiply
    14,919.23x = 20,589.08 × 8,205.37
  4. Step 4: Simplify right side
    14,919.23x = 168,940,926.86
  5. Step 5: Solve for x
    x = 168,940,926.86/14,919.23
  6. Step 6: Final answer
    x = 11,323.70

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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.