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Finding the Fourth Proportional to 5,976.16, 8,956.44 and 2,857.20

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Solution

The fourth proportional to 5,976.16, 8,956.44 and 2,857.20 is: 4,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.16 : 8,956.44 = 2,857.20 : x
  2. Step 2: Convert to fraction form
    5,976.16/8,956.44 = 2,857.20/x
  3. Step 3: Cross multiply
    5,976.16x = 8,956.44 × 2,857.20
  4. Step 4: Simplify right side
    5,976.16x = 25,590,340.37
  5. Step 5: Solve for x
    x = 25,590,340.37/5,976.16
  6. Step 6: Final answer
    x = 4,282.07

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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.