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Finding the Fourth Proportional to 12,324.16, 18,492 and 7,134.40

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Solution

The fourth proportional to 12,324.16, 18,492 and 7,134.40 is: 10,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.16 : 18,492 = 7,134.40 : x
  2. Step 2: Convert to fraction form
    12,324.16/18,492 = 7,134.40/x
  3. Step 3: Cross multiply
    12,324.16x = 18,492 × 7,134.40
  4. Step 4: Simplify right side
    12,324.16x = 131,929,324.80
  5. Step 5: Solve for x
    x = 131,929,324.80/12,324.16
  6. Step 6: Final answer
    x = 10,704.93

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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.