Home / 7,824.80-11,734.81-3,142.35

Finding the Fourth Proportional to 7,824.80, 11,734.81 and 3,142.35

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Solution

The fourth proportional to 7,824.80, 11,734.81 and 3,142.35 is: 4,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.80 : 11,734.81 = 3,142.35 : x
  2. Step 2: Convert to fraction form
    7,824.80/11,734.81 = 3,142.35/x
  3. Step 3: Cross multiply
    7,824.80x = 11,734.81 × 3,142.35
  4. Step 4: Simplify right side
    7,824.80x = 36,874,872.35
  5. Step 5: Solve for x
    x = 36,874,872.35/7,824.80
  6. Step 6: Final answer
    x = 4,712.56

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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.