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Finding the Fourth Proportional to 3,969.54, 5,957.35 and 1,662.66

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Solution

The fourth proportional to 3,969.54, 5,957.35 and 1,662.66 is: 2,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.54 : 5,957.35 = 1,662.66 : x
  2. Step 2: Convert to fraction form
    3,969.54/5,957.35 = 1,662.66/x
  3. Step 3: Cross multiply
    3,969.54x = 5,957.35 × 1,662.66
  4. Step 4: Simplify right side
    3,969.54x = 9,905,047.55
  5. Step 5: Solve for x
    x = 9,905,047.55/3,969.54
  6. Step 6: Final answer
    x = 2,495.26

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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.