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Finding the Fourth Proportional to 7,772.37, 11,661.47 and 4,654.58

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Solution

The fourth proportional to 7,772.37, 11,661.47 and 4,654.58 is: 6,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.37 : 11,661.47 = 4,654.58 : x
  2. Step 2: Convert to fraction form
    7,772.37/11,661.47 = 4,654.58/x
  3. Step 3: Cross multiply
    7,772.37x = 11,661.47 × 4,654.58
  4. Step 4: Simplify right side
    7,772.37x = 54,279,163.45
  5. Step 5: Solve for x
    x = 54,279,163.45/7,772.37
  6. Step 6: Final answer
    x = 6,983.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.