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Finding the Fourth Proportional to 7,755.54, 11,633.31 and 1,912.15

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Solution

The fourth proportional to 7,755.54, 11,633.31 and 1,912.15 is: 2,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.54 : 11,633.31 = 1,912.15 : x
  2. Step 2: Convert to fraction form
    7,755.54/11,633.31 = 1,912.15/x
  3. Step 3: Cross multiply
    7,755.54x = 11,633.31 × 1,912.15
  4. Step 4: Simplify right side
    7,755.54x = 22,244,633.72
  5. Step 5: Solve for x
    x = 22,244,633.72/7,755.54
  6. Step 6: Final answer
    x = 2,868.23

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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.