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Finding the Fourth Proportional to 19,608, 27,043.23 and 12,706.80

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Solution

The fourth proportional to 19,608, 27,043.23 and 12,706.80 is: 17,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608 : 27,043.23 = 12,706.80 : x
  2. Step 2: Convert to fraction form
    19,608/27,043.23 = 12,706.80/x
  3. Step 3: Cross multiply
    19,608x = 27,043.23 × 12,706.80
  4. Step 4: Simplify right side
    19,608x = 343,632,914.96
  5. Step 5: Solve for x
    x = 343,632,914.96/19,608
  6. Step 6: Final answer
    x = 17,525.14

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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.