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Finding the Fourth Proportional to 8,231.62, 11,359.89 and 4,646.63

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Solution

The fourth proportional to 8,231.62, 11,359.89 and 4,646.63 is: 6,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.62 : 11,359.89 = 4,646.63 : x
  2. Step 2: Convert to fraction form
    8,231.62/11,359.89 = 4,646.63/x
  3. Step 3: Cross multiply
    8,231.62x = 11,359.89 × 4,646.63
  4. Step 4: Simplify right side
    8,231.62x = 52,785,205.67
  5. Step 5: Solve for x
    x = 52,785,205.67/8,231.62
  6. Step 6: Final answer
    x = 6,412.49

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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.