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Finding the Fourth Proportional to 11,819.20, 17,728.80 and 8,132.80

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Solution

The fourth proportional to 11,819.20, 17,728.80 and 8,132.80 is: 12,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.20 : 17,728.80 = 8,132.80 : x
  2. Step 2: Convert to fraction form
    11,819.20/17,728.80 = 8,132.80/x
  3. Step 3: Cross multiply
    11,819.20x = 17,728.80 × 8,132.80
  4. Step 4: Simplify right side
    11,819.20x = 144,184,784.64
  5. Step 5: Solve for x
    x = 144,184,784.64/11,819.20
  6. Step 6: Final answer
    x = 12,199.20

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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.