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Finding the Fourth Proportional to 20,705.78, 31,043.20 and 6,657.78

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Solution

The fourth proportional to 20,705.78, 31,043.20 and 6,657.78 is: 9,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.78 : 31,043.20 = 6,657.78 : x
  2. Step 2: Convert to fraction form
    20,705.78/31,043.20 = 6,657.78/x
  3. Step 3: Cross multiply
    20,705.78x = 31,043.20 × 6,657.78
  4. Step 4: Simplify right side
    20,705.78x = 206,678,796.10
  5. Step 5: Solve for x
    x = 206,678,796.10/20,705.78
  6. Step 6: Final answer
    x = 9,981.70

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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.