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Finding the Fourth Proportional to 30,516.75, 45,747.43 and 11,809.29

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Solution

The fourth proportional to 30,516.75, 45,747.43 and 11,809.29 is: 17,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516.75 : 45,747.43 = 11,809.29 : x
  2. Step 2: Convert to fraction form
    30,516.75/45,747.43 = 11,809.29/x
  3. Step 3: Cross multiply
    30,516.75x = 45,747.43 × 11,809.29
  4. Step 4: Simplify right side
    30,516.75x = 540,244,608.58
  5. Step 5: Solve for x
    x = 540,244,608.58/30,516.75
  6. Step 6: Final answer
    x = 17,703.22

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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.