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Finding the Fourth Proportional to 7,104.90, 9,804.82 and 3,961.30

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Solution

The fourth proportional to 7,104.90, 9,804.82 and 3,961.30 is: 5,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.90 : 9,804.82 = 3,961.30 : x
  2. Step 2: Convert to fraction form
    7,104.90/9,804.82 = 3,961.30/x
  3. Step 3: Cross multiply
    7,104.90x = 9,804.82 × 3,961.30
  4. Step 4: Simplify right side
    7,104.90x = 38,839,833.47
  5. Step 5: Solve for x
    x = 38,839,833.47/7,104.90
  6. Step 6: Final answer
    x = 5,466.63

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1.5x scale

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.