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Finding the Fourth Proportional to 7,121.76, 9,824.40 and 5,942.40

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Solution

The fourth proportional to 7,121.76, 9,824.40 and 5,942.40 is: 8,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.76 : 9,824.40 = 5,942.40 : x
  2. Step 2: Convert to fraction form
    7,121.76/9,824.40 = 5,942.40/x
  3. Step 3: Cross multiply
    7,121.76x = 9,824.40 × 5,942.40
  4. Step 4: Simplify right side
    7,121.76x = 58,380,514.56
  5. Step 5: Solve for x
    x = 58,380,514.56/7,121.76
  6. Step 6: Final answer
    x = 8,197.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.