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Finding the Fourth Proportional to 6,741, 10,108.54 and 3,407.20

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Solution

The fourth proportional to 6,741, 10,108.54 and 3,407.20 is: 5,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741 : 10,108.54 = 3,407.20 : x
  2. Step 2: Convert to fraction form
    6,741/10,108.54 = 3,407.20/x
  3. Step 3: Cross multiply
    6,741x = 10,108.54 × 3,407.20
  4. Step 4: Simplify right side
    6,741x = 34,441,817.49
  5. Step 5: Solve for x
    x = 34,441,817.49/6,741
  6. Step 6: Final answer
    x = 5,109.30

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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.