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Finding the Fourth Proportional to 8,439.88, 11,640.40 and 7,874

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Solution

The fourth proportional to 8,439.88, 11,640.40 and 7,874 is: 10,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.88 : 11,640.40 = 7,874 : x
  2. Step 2: Convert to fraction form
    8,439.88/11,640.40 = 7,874/x
  3. Step 3: Cross multiply
    8,439.88x = 11,640.40 × 7,874
  4. Step 4: Simplify right side
    8,439.88x = 91,656,509.60
  5. Step 5: Solve for x
    x = 91,656,509.60/8,439.88
  6. Step 6: Final answer
    x = 10,859.93

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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.