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Finding the Fourth Proportional to 3,957.08, 5,935.62 and 1,324.08

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Solution

The fourth proportional to 3,957.08, 5,935.62 and 1,324.08 is: 1,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.08 : 5,935.62 = 1,324.08 : x
  2. Step 2: Convert to fraction form
    3,957.08/5,935.62 = 1,324.08/x
  3. Step 3: Cross multiply
    3,957.08x = 5,935.62 × 1,324.08
  4. Step 4: Simplify right side
    3,957.08x = 7,859,206.05
  5. Step 5: Solve for x
    x = 7,859,206.05/3,957.08
  6. Step 6: Final answer
    x = 1,986.11

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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.