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Finding the Fourth Proportional to 8,200.50, 12,301.95 and 2,652

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Solution

The fourth proportional to 8,200.50, 12,301.95 and 2,652 is: 3,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.50 : 12,301.95 = 2,652 : x
  2. Step 2: Convert to fraction form
    8,200.50/12,301.95 = 2,652/x
  3. Step 3: Cross multiply
    8,200.50x = 12,301.95 × 2,652
  4. Step 4: Simplify right side
    8,200.50x = 32,624,771.40
  5. Step 5: Solve for x
    x = 32,624,771.40/8,200.50
  6. Step 6: Final answer
    x = 3,978.39

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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.