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Finding the Fourth Proportional to 13,044.38, 18,004.34 and 7,668

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Solution

The fourth proportional to 13,044.38, 18,004.34 and 7,668 is: 10,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044.38 : 18,004.34 = 7,668 : x
  2. Step 2: Convert to fraction form
    13,044.38/18,004.34 = 7,668/x
  3. Step 3: Cross multiply
    13,044.38x = 18,004.34 × 7,668
  4. Step 4: Simplify right side
    13,044.38x = 138,057,298.29
  5. Step 5: Solve for x
    x = 138,057,298.29/13,044.38
  6. Step 6: Final answer
    x = 10,583.67

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1.5x scale

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.