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Finding the Fourth Proportional to 9,668.78, 14,505 and 3,428.09

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Solution

The fourth proportional to 9,668.78, 14,505 and 3,428.09 is: 5,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.78 : 14,505 = 3,428.09 : x
  2. Step 2: Convert to fraction form
    9,668.78/14,505 = 3,428.09/x
  3. Step 3: Cross multiply
    9,668.78x = 14,505 × 3,428.09
  4. Step 4: Simplify right side
    9,668.78x = 49,724,445.45
  5. Step 5: Solve for x
    x = 49,724,445.45/9,668.78
  6. Step 6: Final answer
    x = 5,142.78

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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.