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Finding the Fourth Proportional to 5,236.80, 7,857.12 and 2,640

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Solution

The fourth proportional to 5,236.80, 7,857.12 and 2,640 is: 3,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.80 : 7,857.12 = 2,640 : x
  2. Step 2: Convert to fraction form
    5,236.80/7,857.12 = 2,640/x
  3. Step 3: Cross multiply
    5,236.80x = 7,857.12 × 2,640
  4. Step 4: Simplify right side
    5,236.80x = 20,742,796.80
  5. Step 5: Solve for x
    x = 20,742,796.80/5,236.80
  6. Step 6: Final answer
    x = 3,960.97

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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.