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Finding the Fourth Proportional to 30,874.59, 46,311.77 and 11,153.12

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Solution

The fourth proportional to 30,874.59, 46,311.77 and 11,153.12 is: 16,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.59 : 46,311.77 = 11,153.12 : x
  2. Step 2: Convert to fraction form
    30,874.59/46,311.77 = 11,153.12/x
  3. Step 3: Cross multiply
    30,874.59x = 46,311.77 × 11,153.12
  4. Step 4: Simplify right side
    30,874.59x = 516,520,524.55
  5. Step 5: Solve for x
    x = 516,520,524.55/30,874.59
  6. Step 6: Final answer
    x = 16,729.63

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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.