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Finding the Fourth Proportional to 7,869.60, 11,797.11 and 3,969.48

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Solution

The fourth proportional to 7,869.60, 11,797.11 and 3,969.48 is: 5,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.60 : 11,797.11 = 3,969.48 : x
  2. Step 2: Convert to fraction form
    7,869.60/11,797.11 = 3,969.48/x
  3. Step 3: Cross multiply
    7,869.60x = 11,797.11 × 3,969.48
  4. Step 4: Simplify right side
    7,869.60x = 46,828,392.20
  5. Step 5: Solve for x
    x = 46,828,392.20/7,869.60
  6. Step 6: Final answer
    x = 5,950.54

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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.