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Finding the Fourth Proportional to 8,409.60, 12,614.72 and 3,212.48

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Solution

The fourth proportional to 8,409.60, 12,614.72 and 3,212.48 is: 4,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.60 : 12,614.72 = 3,212.48 : x
  2. Step 2: Convert to fraction form
    8,409.60/12,614.72 = 3,212.48/x
  3. Step 3: Cross multiply
    8,409.60x = 12,614.72 × 3,212.48
  4. Step 4: Simplify right side
    8,409.60x = 40,524,535.71
  5. Step 5: Solve for x
    x = 40,524,535.71/8,409.60
  6. Step 6: Final answer
    x = 4,818.84

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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.