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Finding the Fourth Proportional to 12,646.64, 18,954.60 and 8,949.96

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Solution

The fourth proportional to 12,646.64, 18,954.60 and 8,949.96 is: 13,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.64 : 18,954.60 = 8,949.96 : x
  2. Step 2: Convert to fraction form
    12,646.64/18,954.60 = 8,949.96/x
  3. Step 3: Cross multiply
    12,646.64x = 18,954.60 × 8,949.96
  4. Step 4: Simplify right side
    12,646.64x = 169,642,911.82
  5. Step 5: Solve for x
    x = 169,642,911.82/12,646.64
  6. Step 6: Final answer
    x = 13,414.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.