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Finding the Fourth Proportional to 8,001.50, 12,004.20 and 2,529.50

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Solution

The fourth proportional to 8,001.50, 12,004.20 and 2,529.50 is: 3,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.50 : 12,004.20 = 2,529.50 : x
  2. Step 2: Convert to fraction form
    8,001.50/12,004.20 = 2,529.50/x
  3. Step 3: Cross multiply
    8,001.50x = 12,004.20 × 2,529.50
  4. Step 4: Simplify right side
    8,001.50x = 30,364,623.90
  5. Step 5: Solve for x
    x = 30,364,623.90/8,001.50
  6. Step 6: Final answer
    x = 3,794.87

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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.