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Finding the Fourth Proportional to 13,584.54, 18,750 and 8,282.28

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Solution

The fourth proportional to 13,584.54, 18,750 and 8,282.28 is: 11,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.54 : 18,750 = 8,282.28 : x
  2. Step 2: Convert to fraction form
    13,584.54/18,750 = 8,282.28/x
  3. Step 3: Cross multiply
    13,584.54x = 18,750 × 8,282.28
  4. Step 4: Simplify right side
    13,584.54x = 155,292,750
  5. Step 5: Solve for x
    x = 155,292,750/13,584.54
  6. Step 6: Final answer
    x = 11,431.58

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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.