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Finding the Fourth Proportional to 13,911.74, 20,872.91 and 8,369.00

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Solution

The fourth proportional to 13,911.74, 20,872.91 and 8,369.00 is: 12,556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.74 : 20,872.91 = 8,369.00 : x
  2. Step 2: Convert to fraction form
    13,911.74/20,872.91 = 8,369.00/x
  3. Step 3: Cross multiply
    13,911.74x = 20,872.91 × 8,369.00
  4. Step 4: Simplify right side
    13,911.74x = 174,685,300.35
  5. Step 5: Solve for x
    x = 174,685,300.35/13,911.74
  6. Step 6: Final answer
    x = 12,556.69

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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.