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Finding the Fourth Proportional to 33,507.68, 50,242.34 and 13,770

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Solution

The fourth proportional to 33,507.68, 50,242.34 and 13,770 is: 20,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507.68 : 50,242.34 = 13,770 : x
  2. Step 2: Convert to fraction form
    33,507.68/50,242.34 = 13,770/x
  3. Step 3: Cross multiply
    33,507.68x = 50,242.34 × 13,770
  4. Step 4: Simplify right side
    33,507.68x = 691,837,056.23
  5. Step 5: Solve for x
    x = 691,837,056.23/33,507.68
  6. Step 6: Final answer
    x = 20,647.12

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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.