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Finding the Fourth Proportional to 8,109.20, 12,163.80 and 8,032.40

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Solution

The fourth proportional to 8,109.20, 12,163.80 and 8,032.40 is: 12,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.20 : 12,163.80 = 8,032.40 : x
  2. Step 2: Convert to fraction form
    8,109.20/12,163.80 = 8,032.40/x
  3. Step 3: Cross multiply
    8,109.20x = 12,163.80 × 8,032.40
  4. Step 4: Simplify right side
    8,109.20x = 97,704,507.12
  5. Step 5: Solve for x
    x = 97,704,507.12/8,109.20
  6. Step 6: Final answer
    x = 12,048.60

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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.