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Finding the Fourth Proportional to 7,658.02, 11,489.94 and 3,957.94

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Solution

The fourth proportional to 7,658.02, 11,489.94 and 3,957.94 is: 5,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.02 : 11,489.94 = 3,957.94 : x
  2. Step 2: Convert to fraction form
    7,658.02/11,489.94 = 3,957.94/x
  3. Step 3: Cross multiply
    7,658.02x = 11,489.94 × 3,957.94
  4. Step 4: Simplify right side
    7,658.02x = 45,476,493.12
  5. Step 5: Solve for x
    x = 45,476,493.12/7,658.02
  6. Step 6: Final answer
    x = 5,938.41

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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.