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Finding the Fourth Proportional to 3,957.42, 5,458.70 and 2,384

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Solution

The fourth proportional to 3,957.42, 5,458.70 and 2,384 is: 3,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.42 : 5,458.70 = 2,384 : x
  2. Step 2: Convert to fraction form
    3,957.42/5,458.70 = 2,384/x
  3. Step 3: Cross multiply
    3,957.42x = 5,458.70 × 2,384
  4. Step 4: Simplify right side
    3,957.42x = 13,013,540.80
  5. Step 5: Solve for x
    x = 13,013,540.80/3,957.42
  6. Step 6: Final answer
    x = 3,288.39

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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.