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Finding the Fourth Proportional to 7,951.87, 10,971.84 and 4,807.99

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Solution

The fourth proportional to 7,951.87, 10,971.84 and 4,807.99 is: 6,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.87 : 10,971.84 = 4,807.99 : x
  2. Step 2: Convert to fraction form
    7,951.87/10,971.84 = 4,807.99/x
  3. Step 3: Cross multiply
    7,951.87x = 10,971.84 × 4,807.99
  4. Step 4: Simplify right side
    7,951.87x = 52,752,497.00
  5. Step 5: Solve for x
    x = 52,752,497.00/7,951.87
  6. Step 6: Final answer
    x = 6,633.97

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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.