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Finding the Fourth Proportional to 7,216.31, 10,828.31 and 2,833.80

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Solution

The fourth proportional to 7,216.31, 10,828.31 and 2,833.80 is: 4,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.31 : 10,828.31 = 2,833.80 : x
  2. Step 2: Convert to fraction form
    7,216.31/10,828.31 = 2,833.80/x
  3. Step 3: Cross multiply
    7,216.31x = 10,828.31 × 2,833.80
  4. Step 4: Simplify right side
    7,216.31x = 30,685,250.71
  5. Step 5: Solve for x
    x = 30,685,250.71/7,216.31
  6. Step 6: Final answer
    x = 4,252.21

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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.