Home / 7,215-10,822.92-2,284.80

Finding the Fourth Proportional to 7,215, 10,822.92 and 2,284.80

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Solution

The fourth proportional to 7,215, 10,822.92 and 2,284.80 is: 3,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215 : 10,822.92 = 2,284.80 : x
  2. Step 2: Convert to fraction form
    7,215/10,822.92 = 2,284.80/x
  3. Step 3: Cross multiply
    7,215x = 10,822.92 × 2,284.80
  4. Step 4: Simplify right side
    7,215x = 24,728,207.62
  5. Step 5: Solve for x
    x = 24,728,207.62/7,215
  6. Step 6: Final answer
    x = 3,427.33

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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.