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Finding the Fourth Proportional to 8,519.76, 12,709.76 and 7,923.20

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Solution

The fourth proportional to 8,519.76, 12,709.76 and 7,923.20 is: 11,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.76 : 12,709.76 = 7,923.20 : x
  2. Step 2: Convert to fraction form
    8,519.76/12,709.76 = 7,923.20/x
  3. Step 3: Cross multiply
    8,519.76x = 12,709.76 × 7,923.20
  4. Step 4: Simplify right side
    8,519.76x = 100,701,970.43
  5. Step 5: Solve for x
    x = 100,701,970.43/8,519.76
  6. Step 6: Final answer
    x = 11,819.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.