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Finding the Fourth Proportional to 7,668.45, 11,501.01 and 2,738.43

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Solution

The fourth proportional to 7,668.45, 11,501.01 and 2,738.43 is: 4,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.45 : 11,501.01 = 2,738.43 : x
  2. Step 2: Convert to fraction form
    7,668.45/11,501.01 = 2,738.43/x
  3. Step 3: Cross multiply
    7,668.45x = 11,501.01 × 2,738.43
  4. Step 4: Simplify right side
    7,668.45x = 31,494,710.81
  5. Step 5: Solve for x
    x = 31,494,710.81/7,668.45
  6. Step 6: Final answer
    x = 4,107.05

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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.