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Finding the Fourth Proportional to 12,606.96, 18,881.28 and 9,662.88

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Solution

The fourth proportional to 12,606.96, 18,881.28 and 9,662.88 is: 14,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.96 : 18,881.28 = 9,662.88 : x
  2. Step 2: Convert to fraction form
    12,606.96/18,881.28 = 9,662.88/x
  3. Step 3: Cross multiply
    12,606.96x = 18,881.28 × 9,662.88
  4. Step 4: Simplify right side
    12,606.96x = 182,447,542.89
  5. Step 5: Solve for x
    x = 182,447,542.89/12,606.96
  6. Step 6: Final answer
    x = 14,471.97

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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.