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Finding the Fourth Proportional to 5,757, 7,940.66 and 3,487.60

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Solution

The fourth proportional to 5,757, 7,940.66 and 3,487.60 is: 4,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757 : 7,940.66 = 3,487.60 : x
  2. Step 2: Convert to fraction form
    5,757/7,940.66 = 3,487.60/x
  3. Step 3: Cross multiply
    5,757x = 7,940.66 × 3,487.60
  4. Step 4: Simplify right side
    5,757x = 27,693,845.82
  5. Step 5: Solve for x
    x = 27,693,845.82/5,757
  6. Step 6: Final answer
    x = 4,810.46

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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.