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Finding the Fourth Proportional to 6,743.99, 10,121.22 and 4,678.49

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Solution

The fourth proportional to 6,743.99, 10,121.22 and 4,678.49 is: 7,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.99 : 10,121.22 = 4,678.49 : x
  2. Step 2: Convert to fraction form
    6,743.99/10,121.22 = 4,678.49/x
  3. Step 3: Cross multiply
    6,743.99x = 10,121.22 × 4,678.49
  4. Step 4: Simplify right side
    6,743.99x = 47,352,051.86
  5. Step 5: Solve for x
    x = 47,352,051.86/6,743.99
  6. Step 6: Final answer
    x = 7,021.37

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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.