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Finding the Fourth Proportional to 18,409.50, 27,597.38 and 7,172.42

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Solution

The fourth proportional to 18,409.50, 27,597.38 and 7,172.42 is: 10,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.50 : 27,597.38 = 7,172.42 : x
  2. Step 2: Convert to fraction form
    18,409.50/27,597.38 = 7,172.42/x
  3. Step 3: Cross multiply
    18,409.50x = 27,597.38 × 7,172.42
  4. Step 4: Simplify right side
    18,409.50x = 197,939,987.07
  5. Step 5: Solve for x
    x = 197,939,987.07/18,409.50
  6. Step 6: Final answer
    x = 10,752.06

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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.