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Finding the Fourth Proportional to 30,219.82, 45,326.13 and 8,034.82

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Solution

The fourth proportional to 30,219.82, 45,326.13 and 8,034.82 is: 12,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.82 : 45,326.13 = 8,034.82 : x
  2. Step 2: Convert to fraction form
    30,219.82/45,326.13 = 8,034.82/x
  3. Step 3: Cross multiply
    30,219.82x = 45,326.13 × 8,034.82
  4. Step 4: Simplify right side
    30,219.82x = 364,187,295.85
  5. Step 5: Solve for x
    x = 364,187,295.85/30,219.82
  6. Step 6: Final answer
    x = 12,051.27

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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.