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Finding the Fourth Proportional to 12,912.52, 17,822.16 and 8,195.92

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Solution

The fourth proportional to 12,912.52, 17,822.16 and 8,195.92 is: 11,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.52 : 17,822.16 = 8,195.92 : x
  2. Step 2: Convert to fraction form
    12,912.52/17,822.16 = 8,195.92/x
  3. Step 3: Cross multiply
    12,912.52x = 17,822.16 × 8,195.92
  4. Step 4: Simplify right side
    12,912.52x = 146,068,997.59
  5. Step 5: Solve for x
    x = 146,068,997.59/12,912.52
  6. Step 6: Final answer
    x = 11,312.20

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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.