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Finding the Fourth Proportional to 9,305.65, 13,942.21 and 7,755.61

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Solution

The fourth proportional to 9,305.65, 13,942.21 and 7,755.61 is: 11,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.65 : 13,942.21 = 7,755.61 : x
  2. Step 2: Convert to fraction form
    9,305.65/13,942.21 = 7,755.61/x
  3. Step 3: Cross multiply
    9,305.65x = 13,942.21 × 7,755.61
  4. Step 4: Simplify right side
    9,305.65x = 108,130,343.30
  5. Step 5: Solve for x
    x = 108,130,343.30/9,305.65
  6. Step 6: Final answer
    x = 11,619.86

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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.