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Finding the Fourth Proportional to 43,213.14, 64,819.70 and 10,381.14

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Solution

The fourth proportional to 43,213.14, 64,819.70 and 10,381.14 is: 15,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,213.14 : 64,819.70 = 10,381.14 : x
  2. Step 2: Convert to fraction form
    43,213.14/64,819.70 = 10,381.14/x
  3. Step 3: Cross multiply
    43,213.14x = 64,819.70 × 10,381.14
  4. Step 4: Simplify right side
    43,213.14x = 672,902,328.55
  5. Step 5: Solve for x
    x = 672,902,328.55/43,213.14
  6. Step 6: Final answer
    x = 15,571.71

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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.