Home / 7,214-10,821.42-2,283.80

Finding the Fourth Proportional to 7,214, 10,821.42 and 2,283.80

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Solution

The fourth proportional to 7,214, 10,821.42 and 2,283.80 is: 3,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214 : 10,821.42 = 2,283.80 : x
  2. Step 2: Convert to fraction form
    7,214/10,821.42 = 2,283.80/x
  3. Step 3: Cross multiply
    7,214x = 10,821.42 × 2,283.80
  4. Step 4: Simplify right side
    7,214x = 24,713,959.00
  5. Step 5: Solve for x
    x = 24,713,959.00/7,214
  6. Step 6: Final answer
    x = 3,425.83

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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.