Home / 7,823.31-11,730.23-3,073.78

Finding the Fourth Proportional to 7,823.31, 11,730.23 and 3,073.78

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Solution

The fourth proportional to 7,823.31, 11,730.23 and 3,073.78 is: 4,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.31 : 11,730.23 = 3,073.78 : x
  2. Step 2: Convert to fraction form
    7,823.31/11,730.23 = 3,073.78/x
  3. Step 3: Cross multiply
    7,823.31x = 11,730.23 × 3,073.78
  4. Step 4: Simplify right side
    7,823.31x = 36,056,146.37
  5. Step 5: Solve for x
    x = 36,056,146.37/7,823.31
  6. Step 6: Final answer
    x = 4,608.81

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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.