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Finding the Fourth Proportional to 18,432, 27,648 and 12,994.56

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Solution

The fourth proportional to 18,432, 27,648 and 12,994.56 is: 19,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432 : 27,648 = 12,994.56 : x
  2. Step 2: Convert to fraction form
    18,432/27,648 = 12,994.56/x
  3. Step 3: Cross multiply
    18,432x = 27,648 × 12,994.56
  4. Step 4: Simplify right side
    18,432x = 359,273,594.88
  5. Step 5: Solve for x
    x = 359,273,594.88/18,432
  6. Step 6: Final answer
    x = 19,491.84

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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.