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Finding the Fourth Proportional to 14,813.75, 20,442.99 and 8,189.75

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Solution

The fourth proportional to 14,813.75, 20,442.99 and 8,189.75 is: 11,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.75 : 20,442.99 = 8,189.75 : x
  2. Step 2: Convert to fraction form
    14,813.75/20,442.99 = 8,189.75/x
  3. Step 3: Cross multiply
    14,813.75x = 20,442.99 × 8,189.75
  4. Step 4: Simplify right side
    14,813.75x = 167,422,977.35
  5. Step 5: Solve for x
    x = 167,422,977.35/14,813.75
  6. Step 6: Final answer
    x = 11,301.86

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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.