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Finding the Fourth Proportional to 13,668, 18,861.98 and 7,699.38

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Solution

The fourth proportional to 13,668, 18,861.98 and 7,699.38 is: 10,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668 : 18,861.98 = 7,699.38 : x
  2. Step 2: Convert to fraction form
    13,668/18,861.98 = 7,699.38/x
  3. Step 3: Cross multiply
    13,668x = 18,861.98 × 7,699.38
  4. Step 4: Simplify right side
    13,668x = 145,225,513.08
  5. Step 5: Solve for x
    x = 145,225,513.08/13,668
  6. Step 6: Final answer
    x = 10,625.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.