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Finding the Fourth Proportional to 6,780.90, 10,173.93 and 3,491.90

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Solution

The fourth proportional to 6,780.90, 10,173.93 and 3,491.90 is: 5,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.90 : 10,173.93 = 3,491.90 : x
  2. Step 2: Convert to fraction form
    6,780.90/10,173.93 = 3,491.90/x
  3. Step 3: Cross multiply
    6,780.90x = 10,173.93 × 3,491.90
  4. Step 4: Simplify right side
    6,780.90x = 35,526,295.30
  5. Step 5: Solve for x
    x = 35,526,295.30/6,780.90
  6. Step 6: Final answer
    x = 5,239.17

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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.