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Finding the Fourth Proportional to 20,994.66, 31,492.46 and 7,839.86

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Solution

The fourth proportional to 20,994.66, 31,492.46 and 7,839.86 is: 11,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.66 : 31,492.46 = 7,839.86 : x
  2. Step 2: Convert to fraction form
    20,994.66/31,492.46 = 7,839.86/x
  3. Step 3: Cross multiply
    20,994.66x = 31,492.46 × 7,839.86
  4. Step 4: Simplify right side
    20,994.66x = 246,896,339.59
  5. Step 5: Solve for x
    x = 246,896,339.59/20,994.66
  6. Step 6: Final answer
    x = 11,759.96

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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.