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Finding the Fourth Proportional to 9,200.10, 13,783.95 and 8,163.30

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Solution

The fourth proportional to 9,200.10, 13,783.95 and 8,163.30 is: 12,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.10 : 13,783.95 = 8,163.30 : x
  2. Step 2: Convert to fraction form
    9,200.10/13,783.95 = 8,163.30/x
  3. Step 3: Cross multiply
    9,200.10x = 13,783.95 × 8,163.30
  4. Step 4: Simplify right side
    9,200.10x = 112,522,519.04
  5. Step 5: Solve for x
    x = 112,522,519.04/9,200.10
  6. Step 6: Final answer
    x = 12,230.58

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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.