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Finding the Fourth Proportional to 8,478.40, 12,722.24 and 3,284.48

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Solution

The fourth proportional to 8,478.40, 12,722.24 and 3,284.48 is: 4,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.40 : 12,722.24 = 3,284.48 : x
  2. Step 2: Convert to fraction form
    8,478.40/12,722.24 = 3,284.48/x
  3. Step 3: Cross multiply
    8,478.40x = 12,722.24 × 3,284.48
  4. Step 4: Simplify right side
    8,478.40x = 41,785,942.84
  5. Step 5: Solve for x
    x = 41,785,942.84/8,478.40
  6. Step 6: Final answer
    x = 4,928.52

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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.