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Finding the Fourth Proportional to 8,239.68, 12,363.54 and 3,856.32

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Solution

The fourth proportional to 8,239.68, 12,363.54 and 3,856.32 is: 5,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.68 : 12,363.54 = 3,856.32 : x
  2. Step 2: Convert to fraction form
    8,239.68/12,363.54 = 3,856.32/x
  3. Step 3: Cross multiply
    8,239.68x = 12,363.54 × 3,856.32
  4. Step 4: Simplify right side
    8,239.68x = 47,677,766.57
  5. Step 5: Solve for x
    x = 47,677,766.57/8,239.68
  6. Step 6: Final answer
    x = 5,786.36

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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.