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Finding the Fourth Proportional to 13,144, 18,141.80 and 8,668.56

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Solution

The fourth proportional to 13,144, 18,141.80 and 8,668.56 is: 11,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144 : 18,141.80 = 8,668.56 : x
  2. Step 2: Convert to fraction form
    13,144/18,141.80 = 8,668.56/x
  3. Step 3: Cross multiply
    13,144x = 18,141.80 × 8,668.56
  4. Step 4: Simplify right side
    13,144x = 157,263,281.81
  5. Step 5: Solve for x
    x = 157,263,281.81/13,144
  6. Step 6: Final answer
    x = 11,964.64

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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.