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Finding the Fourth Proportional to 27,981.12, 41,978.94 and 12,395.04

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Solution

The fourth proportional to 27,981.12, 41,978.94 and 12,395.04 is: 18,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981.12 : 41,978.94 = 12,395.04 : x
  2. Step 2: Convert to fraction form
    27,981.12/41,978.94 = 12,395.04/x
  3. Step 3: Cross multiply
    27,981.12x = 41,978.94 × 12,395.04
  4. Step 4: Simplify right side
    27,981.12x = 520,330,640.46
  5. Step 5: Solve for x
    x = 520,330,640.46/27,981.12
  6. Step 6: Final answer
    x = 18,595.78

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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.