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Finding the Fourth Proportional to 34,213.84, 51,333.51 and 20,914.12

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Solution

The fourth proportional to 34,213.84, 51,333.51 and 20,914.12 is: 31,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.84 : 51,333.51 = 20,914.12 : x
  2. Step 2: Convert to fraction form
    34,213.84/51,333.51 = 20,914.12/x
  3. Step 3: Cross multiply
    34,213.84x = 51,333.51 × 20,914.12
  4. Step 4: Simplify right side
    34,213.84x = 1,073,595,188.16
  5. Step 5: Solve for x
    x = 1,073,595,188.16/34,213.84
  6. Step 6: Final answer
    x = 31,378.97

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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.