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Finding the Fourth Proportional to 14,668, 20,243.12 and 8,045.28

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Solution

The fourth proportional to 14,668, 20,243.12 and 8,045.28 is: 11,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668 : 20,243.12 = 8,045.28 : x
  2. Step 2: Convert to fraction form
    14,668/20,243.12 = 8,045.28/x
  3. Step 3: Cross multiply
    14,668x = 20,243.12 × 8,045.28
  4. Step 4: Simplify right side
    14,668x = 162,861,568.47
  5. Step 5: Solve for x
    x = 162,861,568.47/14,668
  6. Step 6: Final answer
    x = 11,103.19

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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.