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Finding the Fourth Proportional to 12,781.30, 17,652.97 and 8,524.97

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Solution

The fourth proportional to 12,781.30, 17,652.97 and 8,524.97 is: 11,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.30 : 17,652.97 = 8,524.97 : x
  2. Step 2: Convert to fraction form
    12,781.30/17,652.97 = 8,524.97/x
  3. Step 3: Cross multiply
    12,781.30x = 17,652.97 × 8,524.97
  4. Step 4: Simplify right side
    12,781.30x = 150,490,997.04
  5. Step 5: Solve for x
    x = 150,490,997.04/12,781.30
  6. Step 6: Final answer
    x = 11,774.31

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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.