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Finding the Fourth Proportional to 30,975.26, 46,446.41 and 12,254.54

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Solution

The fourth proportional to 30,975.26, 46,446.41 and 12,254.54 is: 18,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.26 : 46,446.41 = 12,254.54 : x
  2. Step 2: Convert to fraction form
    30,975.26/46,446.41 = 12,254.54/x
  3. Step 3: Cross multiply
    30,975.26x = 46,446.41 × 12,254.54
  4. Step 4: Simplify right side
    30,975.26x = 569,179,187.61
  5. Step 5: Solve for x
    x = 569,179,187.61/30,975.26
  6. Step 6: Final answer
    x = 18,375.29

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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.