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Finding the Fourth Proportional to 12,892.12, 17,784.78 and 8,117.80

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Solution

The fourth proportional to 12,892.12, 17,784.78 and 8,117.80 is: 11,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.12 : 17,784.78 = 8,117.80 : x
  2. Step 2: Convert to fraction form
    12,892.12/17,784.78 = 8,117.80/x
  3. Step 3: Cross multiply
    12,892.12x = 17,784.78 × 8,117.80
  4. Step 4: Simplify right side
    12,892.12x = 144,373,287.08
  5. Step 5: Solve for x
    x = 144,373,287.08/12,892.12
  6. Step 6: Final answer
    x = 11,198.57

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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.