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Finding the Fourth Proportional to 30,821.42, 46,234.71 and 8,634.77

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Solution

The fourth proportional to 30,821.42, 46,234.71 and 8,634.77 is: 12,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.42 : 46,234.71 = 8,634.77 : x
  2. Step 2: Convert to fraction form
    30,821.42/46,234.71 = 8,634.77/x
  3. Step 3: Cross multiply
    30,821.42x = 46,234.71 × 8,634.77
  4. Step 4: Simplify right side
    30,821.42x = 399,226,086.87
  5. Step 5: Solve for x
    x = 399,226,086.87/30,821.42
  6. Step 6: Final answer
    x = 12,952.88

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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.