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Finding the Fourth Proportional to 20,755.50, 31,133.52 and 6,904.50

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Solution

The fourth proportional to 20,755.50, 31,133.52 and 6,904.50 is: 10,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.50 : 31,133.52 = 6,904.50 : x
  2. Step 2: Convert to fraction form
    20,755.50/31,133.52 = 6,904.50/x
  3. Step 3: Cross multiply
    20,755.50x = 31,133.52 × 6,904.50
  4. Step 4: Simplify right side
    20,755.50x = 214,961,388.84
  5. Step 5: Solve for x
    x = 214,961,388.84/20,755.50
  6. Step 6: Final answer
    x = 10,356.84

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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.