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Finding the Fourth Proportional to 5,778.30, 8,652.69 and 3,178.38

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Solution

The fourth proportional to 5,778.30, 8,652.69 and 3,178.38 is: 4,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.30 : 8,652.69 = 3,178.38 : x
  2. Step 2: Convert to fraction form
    5,778.30/8,652.69 = 3,178.38/x
  3. Step 3: Cross multiply
    5,778.30x = 8,652.69 × 3,178.38
  4. Step 4: Simplify right side
    5,778.30x = 27,501,536.84
  5. Step 5: Solve for x
    x = 27,501,536.84/5,778.30
  6. Step 6: Final answer
    x = 4,759.45

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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.