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Finding the Fourth Proportional to 30,613.12, 45,919.94 and 8,427.73

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Solution

The fourth proportional to 30,613.12, 45,919.94 and 8,427.73 is: 12,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.12 : 45,919.94 = 8,427.73 : x
  2. Step 2: Convert to fraction form
    30,613.12/45,919.94 = 8,427.73/x
  3. Step 3: Cross multiply
    30,613.12x = 45,919.94 × 8,427.73
  4. Step 4: Simplify right side
    30,613.12x = 387,000,813.80
  5. Step 5: Solve for x
    x = 387,000,813.80/30,613.12
  6. Step 6: Final answer
    x = 12,641.67

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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.