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Finding the Fourth Proportional to 12,354, 18,531 and 5,428.68

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Solution

The fourth proportional to 12,354, 18,531 and 5,428.68 is: 8,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354 : 18,531 = 5,428.68 : x
  2. Step 2: Convert to fraction form
    12,354/18,531 = 5,428.68/x
  3. Step 3: Cross multiply
    12,354x = 18,531 × 5,428.68
  4. Step 4: Simplify right side
    12,354x = 100,598,869.08
  5. Step 5: Solve for x
    x = 100,598,869.08/12,354
  6. Step 6: Final answer
    x = 8,143.02

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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.