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Finding the Fourth Proportional to 5,776.48, 8,664.72 and 3,309.60

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Solution

The fourth proportional to 5,776.48, 8,664.72 and 3,309.60 is: 4,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.48 : 8,664.72 = 3,309.60 : x
  2. Step 2: Convert to fraction form
    5,776.48/8,664.72 = 3,309.60/x
  3. Step 3: Cross multiply
    5,776.48x = 8,664.72 × 3,309.60
  4. Step 4: Simplify right side
    5,776.48x = 28,676,757.31
  5. Step 5: Solve for x
    x = 28,676,757.31/5,776.48
  6. Step 6: Final answer
    x = 4,964.40

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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.