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Finding the Fourth Proportional to 11,968.14, 16,498.92 and 8,420.34

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Solution

The fourth proportional to 11,968.14, 16,498.92 and 8,420.34 is: 11,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.14 : 16,498.92 = 8,420.34 : x
  2. Step 2: Convert to fraction form
    11,968.14/16,498.92 = 8,420.34/x
  3. Step 3: Cross multiply
    11,968.14x = 16,498.92 × 8,420.34
  4. Step 4: Simplify right side
    11,968.14x = 138,926,516.03
  5. Step 5: Solve for x
    x = 138,926,516.03/11,968.14
  6. Step 6: Final answer
    x = 11,608.03

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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.