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Finding the Fourth Proportional to 30,755.50, 46,147.84 and 18,300.12

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Solution

The fourth proportional to 30,755.50, 46,147.84 and 18,300.12 is: 27,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.50 : 46,147.84 = 18,300.12 : x
  2. Step 2: Convert to fraction form
    30,755.50/46,147.84 = 18,300.12/x
  3. Step 3: Cross multiply
    30,755.50x = 46,147.84 × 18,300.12
  4. Step 4: Simplify right side
    30,755.50x = 844,511,009.74
  5. Step 5: Solve for x
    x = 844,511,009.74/30,755.50
  6. Step 6: Final answer
    x = 27,458.86

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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.