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Finding the Fourth Proportional to 5,976.80, 8,954.40 and 3,665.60

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Solution

The fourth proportional to 5,976.80, 8,954.40 and 3,665.60 is: 5,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.80 : 8,954.40 = 3,665.60 : x
  2. Step 2: Convert to fraction form
    5,976.80/8,954.40 = 3,665.60/x
  3. Step 3: Cross multiply
    5,976.80x = 8,954.40 × 3,665.60
  4. Step 4: Simplify right side
    5,976.80x = 32,823,248.64
  5. Step 5: Solve for x
    x = 32,823,248.64/5,976.80
  6. Step 6: Final answer
    x = 5,491.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.