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Finding the Fourth Proportional to 8,759.52, 13,128 and 3,828.24

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Solution

The fourth proportional to 8,759.52, 13,128 and 3,828.24 is: 5,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,759.52 : 13,128 = 3,828.24 : x
  2. Step 2: Convert to fraction form
    8,759.52/13,128 = 3,828.24/x
  3. Step 3: Cross multiply
    8,759.52x = 13,128 × 3,828.24
  4. Step 4: Simplify right side
    8,759.52x = 50,257,134.72
  5. Step 5: Solve for x
    x = 50,257,134.72/8,759.52
  6. Step 6: Final answer
    x = 5,737.43

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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.