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Finding the Fourth Proportional to 13,824, 20,698.20 and 9,668.16

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Solution

The fourth proportional to 13,824, 20,698.20 and 9,668.16 is: 14,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 20,698.20 = 9,668.16 : x
  2. Step 2: Convert to fraction form
    13,824/20,698.20 = 9,668.16/x
  3. Step 3: Cross multiply
    13,824x = 20,698.20 × 9,668.16
  4. Step 4: Simplify right side
    13,824x = 200,113,509.31
  5. Step 5: Solve for x
    x = 200,113,509.31/13,824
  6. Step 6: Final answer
    x = 14,475.80

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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.