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Finding the Fourth Proportional to 7,668.63, 11,505.64 and 3,775.77

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Solution

The fourth proportional to 7,668.63, 11,505.64 and 3,775.77 is: 5,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.63 : 11,505.64 = 3,775.77 : x
  2. Step 2: Convert to fraction form
    7,668.63/11,505.64 = 3,775.77/x
  3. Step 3: Cross multiply
    7,668.63x = 11,505.64 × 3,775.77
  4. Step 4: Simplify right side
    7,668.63x = 43,442,583.38
  5. Step 5: Solve for x
    x = 43,442,583.38/7,668.63
  6. Step 6: Final answer
    x = 5,664.98

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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.