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Finding the Fourth Proportional to 41,981.16, 62,983.26 and 12,399

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Solution

The fourth proportional to 41,981.16, 62,983.26 and 12,399 is: 18,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,981.16 : 62,983.26 = 12,399 : x
  2. Step 2: Convert to fraction form
    41,981.16/62,983.26 = 12,399/x
  3. Step 3: Cross multiply
    41,981.16x = 62,983.26 × 12,399
  4. Step 4: Simplify right side
    41,981.16x = 780,929,440.74
  5. Step 5: Solve for x
    x = 780,929,440.74/41,981.16
  6. Step 6: Final answer
    x = 18,601.90

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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.