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Finding the Fourth Proportional to 11,992.20, 17,972.10 and 8,032.20

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Solution

The fourth proportional to 11,992.20, 17,972.10 and 8,032.20 is: 12,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.20 : 17,972.10 = 8,032.20 : x
  2. Step 2: Convert to fraction form
    11,992.20/17,972.10 = 8,032.20/x
  3. Step 3: Cross multiply
    11,992.20x = 17,972.10 × 8,032.20
  4. Step 4: Simplify right side
    11,992.20x = 144,355,501.62
  5. Step 5: Solve for x
    x = 144,355,501.62/11,992.20
  6. Step 6: Final answer
    x = 12,037.45

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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.