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Finding the Fourth Proportional to 13,668, 20,504.88 and 4,434.72

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Solution

The fourth proportional to 13,668, 20,504.88 and 4,434.72 is: 6,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668 : 20,504.88 = 4,434.72 : x
  2. Step 2: Convert to fraction form
    13,668/20,504.88 = 4,434.72/x
  3. Step 3: Cross multiply
    13,668x = 20,504.88 × 4,434.72
  4. Step 4: Simplify right side
    13,668x = 90,933,401.43
  5. Step 5: Solve for x
    x = 90,933,401.43/13,668
  6. Step 6: Final answer
    x = 6,653.01

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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.