Home / 8,209.32-12,322.53-3,831

Finding the Fourth Proportional to 8,209.32, 12,322.53 and 3,831

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Solution

The fourth proportional to 8,209.32, 12,322.53 and 3,831 is: 5,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.32 : 12,322.53 = 3,831 : x
  2. Step 2: Convert to fraction form
    8,209.32/12,322.53 = 3,831/x
  3. Step 3: Cross multiply
    8,209.32x = 12,322.53 × 3,831
  4. Step 4: Simplify right side
    8,209.32x = 47,207,612.43
  5. Step 5: Solve for x
    x = 47,207,612.43/8,209.32
  6. Step 6: Final answer
    x = 5,750.49

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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.