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Finding the Fourth Proportional to 8,007.72, 12,008.20 and 2,812.40

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Solution

The fourth proportional to 8,007.72, 12,008.20 and 2,812.40 is: 4,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.72 : 12,008.20 = 2,812.40 : x
  2. Step 2: Convert to fraction form
    8,007.72/12,008.20 = 2,812.40/x
  3. Step 3: Cross multiply
    8,007.72x = 12,008.20 × 2,812.40
  4. Step 4: Simplify right side
    8,007.72x = 33,771,861.68
  5. Step 5: Solve for x
    x = 33,771,861.68/8,007.72
  6. Step 6: Final answer
    x = 4,217.41

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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.