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Finding the Fourth Proportional to 7,871.74, 11,803.02 and 3,193.99

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Solution

The fourth proportional to 7,871.74, 11,803.02 and 3,193.99 is: 4,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.74 : 11,803.02 = 3,193.99 : x
  2. Step 2: Convert to fraction form
    7,871.74/11,803.02 = 3,193.99/x
  3. Step 3: Cross multiply
    7,871.74x = 11,803.02 × 3,193.99
  4. Step 4: Simplify right side
    7,871.74x = 37,698,727.85
  5. Step 5: Solve for x
    x = 37,698,727.85/7,871.74
  6. Step 6: Final answer
    x = 4,789.12

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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.