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Finding the Fourth Proportional to 30,812, 46,213.34 and 8,622.50

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Solution

The fourth proportional to 30,812, 46,213.34 and 8,622.50 is: 12,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812 : 46,213.34 = 8,622.50 : x
  2. Step 2: Convert to fraction form
    30,812/46,213.34 = 8,622.50/x
  3. Step 3: Cross multiply
    30,812x = 46,213.34 × 8,622.50
  4. Step 4: Simplify right side
    30,812x = 398,474,524.15
  5. Step 5: Solve for x
    x = 398,474,524.15/30,812
  6. Step 6: Final answer
    x = 12,932.45

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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.