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Finding the Fourth Proportional to 30,286.44, 45,463.74 and 12,771

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Solution

The fourth proportional to 30,286.44, 45,463.74 and 12,771 is: 19,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.44 : 45,463.74 = 12,771 : x
  2. Step 2: Convert to fraction form
    30,286.44/45,463.74 = 12,771/x
  3. Step 3: Cross multiply
    30,286.44x = 45,463.74 × 12,771
  4. Step 4: Simplify right side
    30,286.44x = 580,617,423.54
  5. Step 5: Solve for x
    x = 580,617,423.54/30,286.44
  6. Step 6: Final answer
    x = 19,170.87

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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.