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Finding the Fourth Proportional to 7,869.74, 11,800.02 and 3,191.99

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Solution

The fourth proportional to 7,869.74, 11,800.02 and 3,191.99 is: 4,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.74 : 11,800.02 = 3,191.99 : x
  2. Step 2: Convert to fraction form
    7,869.74/11,800.02 = 3,191.99/x
  3. Step 3: Cross multiply
    7,869.74x = 11,800.02 × 3,191.99
  4. Step 4: Simplify right side
    7,869.74x = 37,665,545.84
  5. Step 5: Solve for x
    x = 37,665,545.84/7,869.74
  6. Step 6: Final answer
    x = 4,786.12

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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.