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Finding the Fourth Proportional to 8,305.47, 11,453.40 and 7,049.97

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Solution

The fourth proportional to 8,305.47, 11,453.40 and 7,049.97 is: 9,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.47 : 11,453.40 = 7,049.97 : x
  2. Step 2: Convert to fraction form
    8,305.47/11,453.40 = 7,049.97/x
  3. Step 3: Cross multiply
    8,305.47x = 11,453.40 × 7,049.97
  4. Step 4: Simplify right side
    8,305.47x = 80,746,126.40
  5. Step 5: Solve for x
    x = 80,746,126.40/8,305.47
  6. Step 6: Final answer
    x = 9,722.04

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