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Finding the Fourth Proportional to 7,712.83, 11,571.84 and 2,448.70

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Solution

The fourth proportional to 7,712.83, 11,571.84 and 2,448.70 is: 3,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.83 : 11,571.84 = 2,448.70 : x
  2. Step 2: Convert to fraction form
    7,712.83/11,571.84 = 2,448.70/x
  3. Step 3: Cross multiply
    7,712.83x = 11,571.84 × 2,448.70
  4. Step 4: Simplify right side
    7,712.83x = 28,335,964.61
  5. Step 5: Solve for x
    x = 28,335,964.61/7,712.83
  6. Step 6: Final answer
    x = 3,673.87

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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.