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Finding the Fourth Proportional to 8,205.92, 12,314.28 and 3,011.84

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Solution

The fourth proportional to 8,205.92, 12,314.28 and 3,011.84 is: 4,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.92 : 12,314.28 = 3,011.84 : x
  2. Step 2: Convert to fraction form
    8,205.92/12,314.28 = 3,011.84/x
  3. Step 3: Cross multiply
    8,205.92x = 12,314.28 × 3,011.84
  4. Step 4: Simplify right side
    8,205.92x = 37,088,641.08
  5. Step 5: Solve for x
    x = 37,088,641.08/8,205.92
  6. Step 6: Final answer
    x = 4,519.74

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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.