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Finding the Fourth Proportional to 5,675.91, 8,456.83 and 5,357.63

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Solution

The fourth proportional to 5,675.91, 8,456.83 and 5,357.63 is: 7,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.91 : 8,456.83 = 5,357.63 : x
  2. Step 2: Convert to fraction form
    5,675.91/8,456.83 = 5,357.63/x
  3. Step 3: Cross multiply
    5,675.91x = 8,456.83 × 5,357.63
  4. Step 4: Simplify right side
    5,675.91x = 45,308,566.11
  5. Step 5: Solve for x
    x = 45,308,566.11/5,675.91
  6. Step 6: Final answer
    x = 7,982.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.