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Finding the Fourth Proportional to 14,117.20, 19,481.90 and 8,815.09

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Solution

The fourth proportional to 14,117.20, 19,481.90 and 8,815.09 is: 12,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.20 : 19,481.90 = 8,815.09 : x
  2. Step 2: Convert to fraction form
    14,117.20/19,481.90 = 8,815.09/x
  3. Step 3: Cross multiply
    14,117.20x = 19,481.90 × 8,815.09
  4. Step 4: Simplify right side
    14,117.20x = 171,734,704.01
  5. Step 5: Solve for x
    x = 171,734,704.01/14,117.20
  6. Step 6: Final answer
    x = 12,164.93

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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.