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Finding the Fourth Proportional to 5,221.92, 7,206.26 and 2,864.08

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Solution

The fourth proportional to 5,221.92, 7,206.26 and 2,864.08 is: 3,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.92 : 7,206.26 = 2,864.08 : x
  2. Step 2: Convert to fraction form
    5,221.92/7,206.26 = 2,864.08/x
  3. Step 3: Cross multiply
    5,221.92x = 7,206.26 × 2,864.08
  4. Step 4: Simplify right side
    5,221.92x = 20,639,305.14
  5. Step 5: Solve for x
    x = 20,639,305.14/5,221.92
  6. Step 6: Final answer
    x = 3,952.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.