Home / 7,213-10,819.92-2,282.80

Finding the Fourth Proportional to 7,213, 10,819.92 and 2,282.80

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Solution

The fourth proportional to 7,213, 10,819.92 and 2,282.80 is: 3,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213 : 10,819.92 = 2,282.80 : x
  2. Step 2: Convert to fraction form
    7,213/10,819.92 = 2,282.80/x
  3. Step 3: Cross multiply
    7,213x = 10,819.92 × 2,282.80
  4. Step 4: Simplify right side
    7,213x = 24,699,713.38
  5. Step 5: Solve for x
    x = 24,699,713.38/7,213
  6. Step 6: Final answer
    x = 3,424.33

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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.