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Finding the Fourth Proportional to 7,219.94, 10,826.26 and 3,321

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Solution

The fourth proportional to 7,219.94, 10,826.26 and 3,321 is: 4,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.94 : 10,826.26 = 3,321 : x
  2. Step 2: Convert to fraction form
    7,219.94/10,826.26 = 3,321/x
  3. Step 3: Cross multiply
    7,219.94x = 10,826.26 × 3,321
  4. Step 4: Simplify right side
    7,219.94x = 35,954,001.16
  5. Step 5: Solve for x
    x = 35,954,001.16/7,219.94
  6. Step 6: Final answer
    x = 4,979.82

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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.