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Finding the Fourth Proportional to 7,209.54, 10,814.16 and 2,015.28

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Solution

The fourth proportional to 7,209.54, 10,814.16 and 2,015.28 is: 3,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.54 : 10,814.16 = 2,015.28 : x
  2. Step 2: Convert to fraction form
    7,209.54/10,814.16 = 2,015.28/x
  3. Step 3: Cross multiply
    7,209.54x = 10,814.16 × 2,015.28
  4. Step 4: Simplify right side
    7,209.54x = 21,793,560.36
  5. Step 5: Solve for x
    x = 21,793,560.36/7,209.54
  6. Step 6: Final answer
    x = 3,022.88

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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.