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Finding the Fourth Proportional to 12,254.72, 16,912.34 and 6,949.88

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Solution

The fourth proportional to 12,254.72, 16,912.34 and 6,949.88 is: 9,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.72 : 16,912.34 = 6,949.88 : x
  2. Step 2: Convert to fraction form
    12,254.72/16,912.34 = 6,949.88/x
  3. Step 3: Cross multiply
    12,254.72x = 16,912.34 × 6,949.88
  4. Step 4: Simplify right side
    12,254.72x = 117,538,695.22
  5. Step 5: Solve for x
    x = 117,538,695.22/12,254.72
  6. Step 6: Final answer
    x = 9,591.30

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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.