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Finding the Fourth Proportional to 7,404.20, 10,205.06 and 6,700.20

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Solution

The fourth proportional to 7,404.20, 10,205.06 and 6,700.20 is: 9,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.20 : 10,205.06 = 6,700.20 : x
  2. Step 2: Convert to fraction form
    7,404.20/10,205.06 = 6,700.20/x
  3. Step 3: Cross multiply
    7,404.20x = 10,205.06 × 6,700.20
  4. Step 4: Simplify right side
    7,404.20x = 68,375,943.01
  5. Step 5: Solve for x
    x = 68,375,943.01/7,404.20
  6. Step 6: Final answer
    x = 9,234.75

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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.