Home / 7,822-11,730.13-2,273.85

Finding the Fourth Proportional to 7,822, 11,730.13 and 2,273.85

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Solution

The fourth proportional to 7,822, 11,730.13 and 2,273.85 is: 3,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822 : 11,730.13 = 2,273.85 : x
  2. Step 2: Convert to fraction form
    7,822/11,730.13 = 2,273.85/x
  3. Step 3: Cross multiply
    7,822x = 11,730.13 × 2,273.85
  4. Step 4: Simplify right side
    7,822x = 26,672,556.10
  5. Step 5: Solve for x
    x = 26,672,556.10/7,822
  6. Step 6: Final answer
    x = 3,409.94

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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.