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Finding the Fourth Proportional to 3,271.02, 4,906.53 and 961.98

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Solution

The fourth proportional to 3,271.02, 4,906.53 and 961.98 is: 1,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.02 : 4,906.53 = 961.98 : x
  2. Step 2: Convert to fraction form
    3,271.02/4,906.53 = 961.98/x
  3. Step 3: Cross multiply
    3,271.02x = 4,906.53 × 961.98
  4. Step 4: Simplify right side
    3,271.02x = 4,719,983.73
  5. Step 5: Solve for x
    x = 4,719,983.73/3,271.02
  6. Step 6: Final answer
    x = 1,442.97

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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.