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Finding the Fourth Proportional to 7,864.92, 11,800.22 and 3,966.38

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Solution

The fourth proportional to 7,864.92, 11,800.22 and 3,966.38 is: 5,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.92 : 11,800.22 = 3,966.38 : x
  2. Step 2: Convert to fraction form
    7,864.92/11,800.22 = 3,966.38/x
  3. Step 3: Cross multiply
    7,864.92x = 11,800.22 × 3,966.38
  4. Step 4: Simplify right side
    7,864.92x = 46,804,156.60
  5. Step 5: Solve for x
    x = 46,804,156.60/7,864.92
  6. Step 6: Final answer
    x = 5,951.00

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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.