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Finding the Fourth Proportional to 7,462.80, 11,121.03 and 6,806.70

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Solution

The fourth proportional to 7,462.80, 11,121.03 and 6,806.70 is: 10,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.80 : 11,121.03 = 6,806.70 : x
  2. Step 2: Convert to fraction form
    7,462.80/11,121.03 = 6,806.70/x
  3. Step 3: Cross multiply
    7,462.80x = 11,121.03 × 6,806.70
  4. Step 4: Simplify right side
    7,462.80x = 75,697,514.90
  5. Step 5: Solve for x
    x = 75,697,514.90/7,462.80
  6. Step 6: Final answer
    x = 10,143.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.