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Finding the Fourth Proportional to 20,212.50, 27,895.14 and 11,829

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Solution

The fourth proportional to 20,212.50, 27,895.14 and 11,829 is: 16,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.50 : 27,895.14 = 11,829 : x
  2. Step 2: Convert to fraction form
    20,212.50/27,895.14 = 11,829/x
  3. Step 3: Cross multiply
    20,212.50x = 27,895.14 × 11,829
  4. Step 4: Simplify right side
    20,212.50x = 329,971,611.06
  5. Step 5: Solve for x
    x = 329,971,611.06/20,212.50
  6. Step 6: Final answer
    x = 16,325.13

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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.