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Finding the Fourth Proportional to 18,668.80, 28,008 and 6,982.08

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Solution

The fourth proportional to 18,668.80, 28,008 and 6,982.08 is: 10,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.80 : 28,008 = 6,982.08 : x
  2. Step 2: Convert to fraction form
    18,668.80/28,008 = 6,982.08/x
  3. Step 3: Cross multiply
    18,668.80x = 28,008 × 6,982.08
  4. Step 4: Simplify right side
    18,668.80x = 195,554,096.64
  5. Step 5: Solve for x
    x = 195,554,096.64/18,668.80
  6. Step 6: Final answer
    x = 10,474.92

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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.