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Finding the Fourth Proportional to 6,905.72, 9,530.04 and 3,761.90

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Solution

The fourth proportional to 6,905.72, 9,530.04 and 3,761.90 is: 5,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.72 : 9,530.04 = 3,761.90 : x
  2. Step 2: Convert to fraction form
    6,905.72/9,530.04 = 3,761.90/x
  3. Step 3: Cross multiply
    6,905.72x = 9,530.04 × 3,761.90
  4. Step 4: Simplify right side
    6,905.72x = 35,851,057.48
  5. Step 5: Solve for x
    x = 35,851,057.48/6,905.72
  6. Step 6: Final answer
    x = 5,191.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.