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Finding the Fourth Proportional to 21,667.14, 29,900.64 and 11,731.14

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Solution

The fourth proportional to 21,667.14, 29,900.64 and 11,731.14 is: 16,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.14 : 29,900.64 = 11,731.14 : x
  2. Step 2: Convert to fraction form
    21,667.14/29,900.64 = 11,731.14/x
  3. Step 3: Cross multiply
    21,667.14x = 29,900.64 × 11,731.14
  4. Step 4: Simplify right side
    21,667.14x = 350,768,593.93
  5. Step 5: Solve for x
    x = 350,768,593.93/21,667.14
  6. Step 6: Final answer
    x = 16,188.97

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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.