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Finding the Fourth Proportional to 30,422.64, 45,630.45 and 8,234.70

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Solution

The fourth proportional to 30,422.64, 45,630.45 and 8,234.70 is: 12,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.64 : 45,630.45 = 8,234.70 : x
  2. Step 2: Convert to fraction form
    30,422.64/45,630.45 = 8,234.70/x
  3. Step 3: Cross multiply
    30,422.64x = 45,630.45 × 8,234.70
  4. Step 4: Simplify right side
    30,422.64x = 375,753,066.62
  5. Step 5: Solve for x
    x = 375,753,066.62/30,422.64
  6. Step 6: Final answer
    x = 12,351.10

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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.