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Finding the Fourth Proportional to 8,171.84, 12,257.49 and 4,475.81

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Solution

The fourth proportional to 8,171.84, 12,257.49 and 4,475.81 is: 6,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.84 : 12,257.49 = 4,475.81 : x
  2. Step 2: Convert to fraction form
    8,171.84/12,257.49 = 4,475.81/x
  3. Step 3: Cross multiply
    8,171.84x = 12,257.49 × 4,475.81
  4. Step 4: Simplify right side
    8,171.84x = 54,862,196.32
  5. Step 5: Solve for x
    x = 54,862,196.32/8,171.84
  6. Step 6: Final answer
    x = 6,713.57

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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.