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Finding the Fourth Proportional to 13,771.39, 19,006.11 and 8,182.39

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Solution

The fourth proportional to 13,771.39, 19,006.11 and 8,182.39 is: 11,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.39 : 19,006.11 = 8,182.39 : x
  2. Step 2: Convert to fraction form
    13,771.39/19,006.11 = 8,182.39/x
  3. Step 3: Cross multiply
    13,771.39x = 19,006.11 × 8,182.39
  4. Step 4: Simplify right side
    13,771.39x = 155,515,404.40
  5. Step 5: Solve for x
    x = 155,515,404.40/13,771.39
  6. Step 6: Final answer
    x = 11,292.64

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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.