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Finding the Fourth Proportional to 12,668.22, 17,484.80 and 8,419.64

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Solution

The fourth proportional to 12,668.22, 17,484.80 and 8,419.64 is: 11,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.22 : 17,484.80 = 8,419.64 : x
  2. Step 2: Convert to fraction form
    12,668.22/17,484.80 = 8,419.64/x
  3. Step 3: Cross multiply
    12,668.22x = 17,484.80 × 8,419.64
  4. Step 4: Simplify right side
    12,668.22x = 147,215,591.95
  5. Step 5: Solve for x
    x = 147,215,591.95/12,668.22
  6. Step 6: Final answer
    x = 11,620.86

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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.