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Finding the Fourth Proportional to 7,216.80, 10,826.28 and 3,056.80

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Solution

The fourth proportional to 7,216.80, 10,826.28 and 3,056.80 is: 4,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.80 : 10,826.28 = 3,056.80 : x
  2. Step 2: Convert to fraction form
    7,216.80/10,826.28 = 3,056.80/x
  3. Step 3: Cross multiply
    7,216.80x = 10,826.28 × 3,056.80
  4. Step 4: Simplify right side
    7,216.80x = 33,093,772.70
  5. Step 5: Solve for x
    x = 33,093,772.70/7,216.80
  6. Step 6: Final answer
    x = 4,585.66

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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.