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Finding the Fourth Proportional to 12,674.67, 18,984.31 and 6,423.94

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Solution

The fourth proportional to 12,674.67, 18,984.31 and 6,423.94 is: 9,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.67 : 18,984.31 = 6,423.94 : x
  2. Step 2: Convert to fraction form
    12,674.67/18,984.31 = 6,423.94/x
  3. Step 3: Cross multiply
    12,674.67x = 18,984.31 × 6,423.94
  4. Step 4: Simplify right side
    12,674.67x = 121,954,076.05
  5. Step 5: Solve for x
    x = 121,954,076.05/12,674.67
  6. Step 6: Final answer
    x = 9,621.88

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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.