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Finding the Fourth Proportional to 13,761.63, 18,991.31 and 7,793.28

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Solution

The fourth proportional to 13,761.63, 18,991.31 and 7,793.28 is: 10,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.63 : 18,991.31 = 7,793.28 : x
  2. Step 2: Convert to fraction form
    13,761.63/18,991.31 = 7,793.28/x
  3. Step 3: Cross multiply
    13,761.63x = 18,991.31 × 7,793.28
  4. Step 4: Simplify right side
    13,761.63x = 148,004,557.43
  5. Step 5: Solve for x
    x = 148,004,557.43/13,761.63
  6. Step 6: Final answer
    x = 10,754.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.