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Finding the Fourth Proportional to 12,608.96, 18,884.28 and 9,664.88

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Solution

The fourth proportional to 12,608.96, 18,884.28 and 9,664.88 is: 14,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.96 : 18,884.28 = 9,664.88 : x
  2. Step 2: Convert to fraction form
    12,608.96/18,884.28 = 9,664.88/x
  3. Step 3: Cross multiply
    12,608.96x = 18,884.28 × 9,664.88
  4. Step 4: Simplify right side
    12,608.96x = 182,514,300.09
  5. Step 5: Solve for x
    x = 182,514,300.09/12,608.96
  6. Step 6: Final answer
    x = 14,474.97

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1.5x scale

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.