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Finding the Fourth Proportional to 7,005.12, 10,500.12 and 2,843.88

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Solution

The fourth proportional to 7,005.12, 10,500.12 and 2,843.88 is: 4,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.12 : 10,500.12 = 2,843.88 : x
  2. Step 2: Convert to fraction form
    7,005.12/10,500.12 = 2,843.88/x
  3. Step 3: Cross multiply
    7,005.12x = 10,500.12 × 2,843.88
  4. Step 4: Simplify right side
    7,005.12x = 29,861,081.27
  5. Step 5: Solve for x
    x = 29,861,081.27/7,005.12
  6. Step 6: Final answer
    x = 4,262.75

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1.5x scale

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.