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Finding the Fourth Proportional to 12,157.79, 16,791.59 and 8,171.99

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Solution

The fourth proportional to 12,157.79, 16,791.59 and 8,171.99 is: 11,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.79 : 16,791.59 = 8,171.99 : x
  2. Step 2: Convert to fraction form
    12,157.79/16,791.59 = 8,171.99/x
  3. Step 3: Cross multiply
    12,157.79x = 16,791.59 × 8,171.99
  4. Step 4: Simplify right side
    12,157.79x = 137,220,621.61
  5. Step 5: Solve for x
    x = 137,220,621.61/12,157.79
  6. Step 6: Final answer
    x = 11,286.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.