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Finding the Fourth Proportional to 12,654, 18,989.64 and 4,446

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Solution

The fourth proportional to 12,654, 18,989.64 and 4,446 is: 6,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654 : 18,989.64 = 4,446 : x
  2. Step 2: Convert to fraction form
    12,654/18,989.64 = 4,446/x
  3. Step 3: Cross multiply
    12,654x = 18,989.64 × 4,446
  4. Step 4: Simplify right side
    12,654x = 84,427,939.44
  5. Step 5: Solve for x
    x = 84,427,939.44/12,654
  6. Step 6: Final answer
    x = 6,672.04

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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.