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Finding the Fourth Proportional to 20,554.75, 30,769.69 and 13,164.40

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Solution

The fourth proportional to 20,554.75, 30,769.69 and 13,164.40 is: 19,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,554.75 : 30,769.69 = 13,164.40 : x
  2. Step 2: Convert to fraction form
    20,554.75/30,769.69 = 13,164.40/x
  3. Step 3: Cross multiply
    20,554.75x = 30,769.69 × 13,164.40
  4. Step 4: Simplify right side
    20,554.75x = 405,064,507.04
  5. Step 5: Solve for x
    x = 405,064,507.04/20,554.75
  6. Step 6: Final answer
    x = 19,706.61

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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.