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Finding the Fourth Proportional to 8,170.64, 12,251.28 and 3,783.82

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Solution

The fourth proportional to 8,170.64, 12,251.28 and 3,783.82 is: 5,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.64 : 12,251.28 = 3,783.82 : x
  2. Step 2: Convert to fraction form
    8,170.64/12,251.28 = 3,783.82/x
  3. Step 3: Cross multiply
    8,170.64x = 12,251.28 × 3,783.82
  4. Step 4: Simplify right side
    8,170.64x = 46,356,638.29
  5. Step 5: Solve for x
    x = 46,356,638.29/8,170.64
  6. Step 6: Final answer
    x = 5,673.56

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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.