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Finding the Fourth Proportional to 5,677.79, 7,835.27 and 3,288.09

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Solution

The fourth proportional to 5,677.79, 7,835.27 and 3,288.09 is: 4,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.79 : 7,835.27 = 3,288.09 : x
  2. Step 2: Convert to fraction form
    5,677.79/7,835.27 = 3,288.09/x
  3. Step 3: Cross multiply
    5,677.79x = 7,835.27 × 3,288.09
  4. Step 4: Simplify right side
    5,677.79x = 25,763,041.98
  5. Step 5: Solve for x
    x = 25,763,041.98/5,677.79
  6. Step 6: Final answer
    x = 4,537.51

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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.