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Finding the Fourth Proportional to 12,447.67, 18,627.64 and 7,769.88

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Solution

The fourth proportional to 12,447.67, 18,627.64 and 7,769.88 is: 11,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.67 : 18,627.64 = 7,769.88 : x
  2. Step 2: Convert to fraction form
    12,447.67/18,627.64 = 7,769.88/x
  3. Step 3: Cross multiply
    12,447.67x = 18,627.64 × 7,769.88
  4. Step 4: Simplify right side
    12,447.67x = 144,734,527.48
  5. Step 5: Solve for x
    x = 144,734,527.48/12,447.67
  6. Step 6: Final answer
    x = 11,627.44

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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.