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Finding the Fourth Proportional to 18,668.46, 28,001.78 and 6,980.77

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Solution

The fourth proportional to 18,668.46, 28,001.78 and 6,980.77 is: 10,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.46 : 28,001.78 = 6,980.77 : x
  2. Step 2: Convert to fraction form
    18,668.46/28,001.78 = 6,980.77/x
  3. Step 3: Cross multiply
    18,668.46x = 28,001.78 × 6,980.77
  4. Step 4: Simplify right side
    18,668.46x = 195,473,834.90
  5. Step 5: Solve for x
    x = 195,473,834.90/18,668.46
  6. Step 6: Final answer
    x = 10,470.81

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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.