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Finding the Fourth Proportional to 19,667.84, 27,129.22 and 11,704.12

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Solution

The fourth proportional to 19,667.84, 27,129.22 and 11,704.12 is: 16,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.84 : 27,129.22 = 11,704.12 : x
  2. Step 2: Convert to fraction form
    19,667.84/27,129.22 = 11,704.12/x
  3. Step 3: Cross multiply
    19,667.84x = 27,129.22 × 11,704.12
  4. Step 4: Simplify right side
    19,667.84x = 317,523,646.39
  5. Step 5: Solve for x
    x = 317,523,646.39/19,667.84
  6. Step 6: Final answer
    x = 16,144.31

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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.